Spectral theory of linear differential operators and comparison algebras /:
The main aim of this book is to introduce the reader to the concept of comparison algebra, defined as a type of C*-algebra of singular integral operators.
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
©1987.
|
| Schriftenreihe: | London Mathematical Society lecture note series ;
76. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | The main aim of this book is to introduce the reader to the concept of comparison algebra, defined as a type of C*-algebra of singular integral operators. |
| Beschreibung: | 1 online resource (356 pages) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9781107361102 1107361109 9780511662836 0511662831 9781107366015 1107366011 1139886010 9781139886017 1107370744 9781107370746 1107369258 9781107369252 1299403816 9781299403819 1107363551 9781107363557 |
Internformat
MARC
| LEADER | 00000cam a2200000 a 4500 | ||
|---|---|---|---|
| 001 | ZDB-4-EBA-ocn776957528 | ||
| 003 | OCoLC | ||
| 005 | 20241004212047.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 091215s1987 enk ob 001 0 eng d | ||
| 040 | |a UkCbUP |b eng |e pn |c AUD |d OCLCO |d OCLCQ |d N$T |d MHW |d EBLCP |d OCLCF |d DEBSZ |d OCLCQ |d E7B |d IDEBK |d YDXCP |d OCLCQ |d AGLDB |d OCLCQ |d VTS |d AU@ |d REC |d STF |d M8D |d UKAHL |d OCLCQ |d VLY |d LUN |d AJS |d OCLCQ |d OCLCO |d OCLCQ |d OCLCO |d OCLCL |d OCLCQ |d OCLCL |d SFB | ||
| 019 | |a 715186051 |a 1162558655 |a 1167039531 |a 1242478543 | ||
| 020 | |a 9781107361102 |q (electronic bk.) | ||
| 020 | |a 1107361109 |q (electronic bk.) | ||
| 020 | |a 9780511662836 |q (electronic bk.) | ||
| 020 | |a 0511662831 |q (electronic bk.) | ||
| 020 | |a 9781107366015 | ||
| 020 | |a 1107366011 | ||
| 020 | |a 1139886010 | ||
| 020 | |a 9781139886017 | ||
| 020 | |a 1107370744 | ||
| 020 | |a 9781107370746 | ||
| 020 | |a 1107369258 | ||
| 020 | |a 9781107369252 | ||
| 020 | |a 1299403816 | ||
| 020 | |a 9781299403819 | ||
| 020 | |a 1107363551 | ||
| 020 | |a 9781107363557 | ||
| 020 | |z 9780521284431 |q (paperback) | ||
| 020 | |z 0521284430 |q (paperback) | ||
| 035 | |a (OCoLC)776957528 |z (OCoLC)715186051 |z (OCoLC)1162558655 |z (OCoLC)1167039531 |z (OCoLC)1242478543 | ||
| 050 | 4 | |a QA329.4 | |
| 072 | 7 | |a MAT |x 037000 |2 bisacsh | |
| 082 | 7 | |a 515.7/242 |2 22 | |
| 049 | |a MAIN | ||
| 100 | 1 | |a Cordes, H. O. |q (Heinz Otto), |d 1925- |1 https://id.oclc.org/worldcat/entity/E39PBJmP6hF6w9rhkCCkmRw6Kd |0 http://id.loc.gov/authorities/names/n79116348 | |
| 245 | 1 | 0 | |a Spectral theory of linear differential operators and comparison algebras / |c Heinz Otto Cordes. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c ©1987. | ||
| 300 | |a 1 online resource (356 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society lecture note series ; |v 76 | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a The main aim of this book is to introduce the reader to the concept of comparison algebra, defined as a type of C*-algebra of singular integral operators. | ||
| 505 | 0 | |a Cover -- Title -- Copyright -- Preface -- Contents -- Chapter 1. Abstract spectral theory in Hilbert spaces -- 1.1. Unbounded linear operators on Banach and Hilbert spaces -- 1.2. Self-adjoint extensions of hermitian operators -- 1.3. On the spectral theorem for self-adjoint operators. -- 1.4. Proof of the spectral theorem -- 1.5. A result on powers of positive operators -- 1.6. On HS-chains 2 -- Chapter 2. Spectral theory of differential operators -- 2.1. Linear differential operators on a subdomain of ln -- 2.2. Generalized boundary problems. | |
| 505 | 8 | |a Ordinary differential expressions -- 2.3. Singular endpoints of a 2r-th order Sturm-Liouville problem -- 2.4. The spectral theorem for a second order expression -- Chapter 3. Second order elliptic expressions on manifolds -- 3.1. 2-nd order partial differential expressions on manifolds -- Weyl!s lemma -- Dirichlet operator -- 3.2. Boundary regularity for the Dirichlet realization -- 3.3. Compactness of the resolvent of the Friedrichs extension -- 3.4. A Green's function for H and Hd and a mean value inequality -- 3.5. Harnack inequality -- Dirichlet problem. | |
| 505 | 8 | |a Maximum principle -- 3.6. Change of dependent variable -- normal forms -- positivity of the Green's function -- Chapter 4. Essential self-adjointness of the Minimal Operator -- 4.1. Essential self-adjointness of powers of H0 -- 4.2. Essential self-adjointness of HQ -- 4.3. Proof of theorem 1.1 -- 4.4. Proof of Frehse's theorem -- 4.5. More criteria for essential self-adjointness -- Chapter 5. C -Comparison algebras -- 5.1. Comparison operators and comparison algebras -- 5.2. Differential expressions of order _<2. | |
| 505 | 8 | |a 5.3. Compactness criteria for commutators -- 5.4. Comparison algebras with compact commutators -- 5.5. A discussion of one-dimensional problems -- 5.6. An expansion for expressions within reach of an algebra C -- Chapter 6. Minimal comparison algebra and wave front space. -- 6.1. The local invariance of the minimal comparison algebra -- 6.2. The wave front space -- 6.3. Differential expressions within reach of the algebra J0 -- 6.4. The Sobolev estimate for elliptic expressions expressions on a compact -- Chapter 7. The secondary symbol space. | |
| 505 | 8 | |a 7.1. The symbol space of a general comparison algebra -- 7.2. The space flAw, and some examples -- 7.3. Stronger conditions and more detail on M\W . -- 7.4. More structure of ffi, and more on examples -- Chapter 8. Comparison algebras with non-compact commutators -- 8.1. An algebra invariant under a discrete translation group -- 8.2. A C -algebra on a poly-cylinder -- 8.3. Algebra surgery -- 8.4. Complete Riemannian manifolds with cylindrical ends -- Chapter 9. H -Algebras -- higher order s operators within reach. | |
| 546 | |a English. | ||
| 650 | 0 | |a Differential operators. |0 http://id.loc.gov/authorities/subjects/sh85037921 | |
| 650 | 0 | |a Linear operators. |0 http://id.loc.gov/authorities/subjects/sh85077178 | |
| 650 | 6 | |a Opérateurs différentiels. | |
| 650 | 6 | |a Opérateurs linéaires. | |
| 650 | 7 | |a MATHEMATICS |x Functional Analysis. |2 bisacsh | |
| 650 | 7 | |a Differential operators |2 fast | |
| 650 | 7 | |a Linear operators |2 fast | |
| 655 | 0 | |a Electronic books. | |
| 655 | 4 | |a Electronic books. | |
| 758 | |i has work: |a Spectral theory of linear differential operators and comparison algebras (Text) |1 https://id.oclc.org/worldcat/entity/E39PCG7KpfqgpDYKPK6M6v3GBK |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Cordes, H.O. (Heinz Otto), 1925- |t Spectral theory of linear differential operators and comparison algebras. |d Cambridge : Cambridge University Press, 1987 |z 9780511662836 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v 76. |0 http://id.loc.gov/authorities/names/n42015587 | |
| 856 | 4 | 0 | |l FWS01 |p ZDB-4-EBA |q FWS_PDA_EBA |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552524 |3 Volltext |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH13428534 | ||
| 938 | |a Askews and Holts Library Services |b ASKH |n AH26385442 | ||
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL1182399 | ||
| 938 | |a ebrary |b EBRY |n ebr10455693 | ||
| 938 | |a EBSCOhost |b EBSC |n 552524 | ||
| 938 | |a ProQuest MyiLibrary Digital eBook Collection |b IDEB |n cis25154478 | ||
| 938 | |a YBP Library Services |b YANK |n 3582213 | ||
| 938 | |a YBP Library Services |b YANK |n 10370348 | ||
| 938 | |a YBP Library Services |b YANK |n 10407365 | ||
| 938 | |a YBP Library Services |b YANK |n 10689636 | ||
| 994 | |a 92 |b GEBAY | ||
| 912 | |a ZDB-4-EBA | ||
| 049 | |a DE-863 | ||
Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn776957528 |
|---|---|
| _version_ | 1816881786509066240 |
| adam_text | |
| any_adam_object | |
| author | Cordes, H. O. (Heinz Otto), 1925- |
| author_GND | http://id.loc.gov/authorities/names/n79116348 |
| author_facet | Cordes, H. O. (Heinz Otto), 1925- |
| author_role | |
| author_sort | Cordes, H. O. 1925- |
| author_variant | h o c ho hoc |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA329 |
| callnumber-raw | QA329.4 |
| callnumber-search | QA329.4 |
| callnumber-sort | QA 3329.4 |
| callnumber-subject | QA - Mathematics |
| collection | ZDB-4-EBA |
| contents | Cover -- Title -- Copyright -- Preface -- Contents -- Chapter 1. Abstract spectral theory in Hilbert spaces -- 1.1. Unbounded linear operators on Banach and Hilbert spaces -- 1.2. Self-adjoint extensions of hermitian operators -- 1.3. On the spectral theorem for self-adjoint operators. -- 1.4. Proof of the spectral theorem -- 1.5. A result on powers of positive operators -- 1.6. On HS-chains 2 -- Chapter 2. Spectral theory of differential operators -- 2.1. Linear differential operators on a subdomain of ln -- 2.2. Generalized boundary problems. Ordinary differential expressions -- 2.3. Singular endpoints of a 2r-th order Sturm-Liouville problem -- 2.4. The spectral theorem for a second order expression -- Chapter 3. Second order elliptic expressions on manifolds -- 3.1. 2-nd order partial differential expressions on manifolds -- Weyl!s lemma -- Dirichlet operator -- 3.2. Boundary regularity for the Dirichlet realization -- 3.3. Compactness of the resolvent of the Friedrichs extension -- 3.4. A Green's function for H and Hd and a mean value inequality -- 3.5. Harnack inequality -- Dirichlet problem. Maximum principle -- 3.6. Change of dependent variable -- normal forms -- positivity of the Green's function -- Chapter 4. Essential self-adjointness of the Minimal Operator -- 4.1. Essential self-adjointness of powers of H0 -- 4.2. Essential self-adjointness of HQ -- 4.3. Proof of theorem 1.1 -- 4.4. Proof of Frehse's theorem -- 4.5. More criteria for essential self-adjointness -- Chapter 5. C -Comparison algebras -- 5.1. Comparison operators and comparison algebras -- 5.2. Differential expressions of order _<2. 5.3. Compactness criteria for commutators -- 5.4. Comparison algebras with compact commutators -- 5.5. A discussion of one-dimensional problems -- 5.6. An expansion for expressions within reach of an algebra C -- Chapter 6. Minimal comparison algebra and wave front space. -- 6.1. The local invariance of the minimal comparison algebra -- 6.2. The wave front space -- 6.3. Differential expressions within reach of the algebra J0 -- 6.4. The Sobolev estimate for elliptic expressions expressions on a compact -- Chapter 7. The secondary symbol space. 7.1. The symbol space of a general comparison algebra -- 7.2. The space flAw, and some examples -- 7.3. Stronger conditions and more detail on M\W . -- 7.4. More structure of ffi, and more on examples -- Chapter 8. Comparison algebras with non-compact commutators -- 8.1. An algebra invariant under a discrete translation group -- 8.2. A C -algebra on a poly-cylinder -- 8.3. Algebra surgery -- 8.4. Complete Riemannian manifolds with cylindrical ends -- Chapter 9. H -Algebras -- higher order s operators within reach. |
| ctrlnum | (OCoLC)776957528 |
| dewey-full | 515.7/242 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7/242 |
| dewey-search | 515.7/242 |
| dewey-sort | 3515.7 3242 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>06715cam a2200889 a 4500</leader><controlfield tag="001">ZDB-4-EBA-ocn776957528</controlfield><controlfield tag="003">OCoLC</controlfield><controlfield tag="005">20241004212047.0</controlfield><controlfield tag="006">m o d </controlfield><controlfield tag="007">cr cnu---unuuu</controlfield><controlfield tag="008">091215s1987 enk ob 001 0 eng d</controlfield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">UkCbUP</subfield><subfield code="b">eng</subfield><subfield code="e">pn</subfield><subfield code="c">AUD</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">N$T</subfield><subfield code="d">MHW</subfield><subfield code="d">EBLCP</subfield><subfield code="d">OCLCF</subfield><subfield code="d">DEBSZ</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">E7B</subfield><subfield code="d">IDEBK</subfield><subfield code="d">YDXCP</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">AGLDB</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">VTS</subfield><subfield code="d">AU@</subfield><subfield code="d">REC</subfield><subfield code="d">STF</subfield><subfield code="d">M8D</subfield><subfield code="d">UKAHL</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">VLY</subfield><subfield code="d">LUN</subfield><subfield code="d">AJS</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCL</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCL</subfield><subfield code="d">SFB</subfield></datafield><datafield tag="019" ind1=" " ind2=" "><subfield code="a">715186051</subfield><subfield code="a">1162558655</subfield><subfield code="a">1167039531</subfield><subfield code="a">1242478543</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781107361102</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1107361109</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511662836</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0511662831</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781107366015</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1107366011</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1139886010</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781139886017</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1107370744</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781107370746</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1107369258</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781107369252</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1299403816</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781299403819</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1107363551</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781107363557</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9780521284431</subfield><subfield code="q">(paperback)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">0521284430</subfield><subfield code="q">(paperback)</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)776957528</subfield><subfield code="z">(OCoLC)715186051</subfield><subfield code="z">(OCoLC)1162558655</subfield><subfield code="z">(OCoLC)1167039531</subfield><subfield code="z">(OCoLC)1242478543</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA329.4</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT</subfield><subfield code="x">037000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="7" ind2=" "><subfield code="a">515.7/242</subfield><subfield code="2">22</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">MAIN</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Cordes, H. O.</subfield><subfield code="q">(Heinz Otto),</subfield><subfield code="d">1925-</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PBJmP6hF6w9rhkCCkmRw6Kd</subfield><subfield code="0">http://id.loc.gov/authorities/names/n79116348</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Spectral theory of linear differential operators and comparison algebras /</subfield><subfield code="c">Heinz Otto Cordes.</subfield></datafield><datafield tag="260" ind1=" " ind2=" "><subfield code="a">Cambridge ;</subfield><subfield code="a">New York :</subfield><subfield code="b">Cambridge University Press,</subfield><subfield code="c">©1987.</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (356 pages)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">London Mathematical Society lecture note series ;</subfield><subfield code="v">76</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Print version record.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">The main aim of this book is to introduce the reader to the concept of comparison algebra, defined as a type of C*-algebra of singular integral operators.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">Cover -- Title -- Copyright -- Preface -- Contents -- Chapter 1. Abstract spectral theory in Hilbert spaces -- 1.1. Unbounded linear operators on Banach and Hilbert spaces -- 1.2. Self-adjoint extensions of hermitian operators -- 1.3. On the spectral theorem for self-adjoint operators. -- 1.4. Proof of the spectral theorem -- 1.5. A result on powers of positive operators -- 1.6. On HS-chains 2 -- Chapter 2. Spectral theory of differential operators -- 2.1. Linear differential operators on a subdomain of ln -- 2.2. Generalized boundary problems.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">Ordinary differential expressions -- 2.3. Singular endpoints of a 2r-th order Sturm-Liouville problem -- 2.4. The spectral theorem for a second order expression -- Chapter 3. Second order elliptic expressions on manifolds -- 3.1. 2-nd order partial differential expressions on manifolds -- Weyl!s lemma -- Dirichlet operator -- 3.2. Boundary regularity for the Dirichlet realization -- 3.3. Compactness of the resolvent of the Friedrichs extension -- 3.4. A Green's function for H and Hd and a mean value inequality -- 3.5. Harnack inequality -- Dirichlet problem.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">Maximum principle -- 3.6. Change of dependent variable -- normal forms -- positivity of the Green's function -- Chapter 4. Essential self-adjointness of the Minimal Operator -- 4.1. Essential self-adjointness of powers of H0 -- 4.2. Essential self-adjointness of HQ -- 4.3. Proof of theorem 1.1 -- 4.4. Proof of Frehse's theorem -- 4.5. More criteria for essential self-adjointness -- Chapter 5. C -Comparison algebras -- 5.1. Comparison operators and comparison algebras -- 5.2. Differential expressions of order _<2.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">5.3. Compactness criteria for commutators -- 5.4. Comparison algebras with compact commutators -- 5.5. A discussion of one-dimensional problems -- 5.6. An expansion for expressions within reach of an algebra C -- Chapter 6. Minimal comparison algebra and wave front space. -- 6.1. The local invariance of the minimal comparison algebra -- 6.2. The wave front space -- 6.3. Differential expressions within reach of the algebra J0 -- 6.4. The Sobolev estimate for elliptic expressions expressions on a compact -- Chapter 7. The secondary symbol space.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">7.1. The symbol space of a general comparison algebra -- 7.2. The space flAw, and some examples -- 7.3. Stronger conditions and more detail on M\W . -- 7.4. More structure of ffi, and more on examples -- Chapter 8. Comparison algebras with non-compact commutators -- 8.1. An algebra invariant under a discrete translation group -- 8.2. A C -algebra on a poly-cylinder -- 8.3. Algebra surgery -- 8.4. Complete Riemannian manifolds with cylindrical ends -- Chapter 9. H -Algebras -- higher order s operators within reach.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">English.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Differential operators.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85037921</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Linear operators.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85077178</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Opérateurs différentiels.</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Opérateurs linéaires.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS</subfield><subfield code="x">Functional Analysis.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Differential operators</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Linear operators</subfield><subfield code="2">fast</subfield></datafield><datafield tag="655" ind1=" " ind2="0"><subfield code="a">Electronic books.</subfield></datafield><datafield tag="655" ind1=" " ind2="4"><subfield code="a">Electronic books.</subfield></datafield><datafield tag="758" ind1=" " ind2=" "><subfield code="i">has work:</subfield><subfield code="a">Spectral theory of linear differential operators and comparison algebras (Text)</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PCG7KpfqgpDYKPK6M6v3GBK</subfield><subfield code="4">https://id.oclc.org/worldcat/ontology/hasWork</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Print version:</subfield><subfield code="a">Cordes, H.O. (Heinz Otto), 1925-</subfield><subfield code="t">Spectral theory of linear differential operators and comparison algebras.</subfield><subfield code="d">Cambridge : Cambridge University Press, 1987</subfield><subfield code="z">9780511662836</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">London Mathematical Society lecture note series ;</subfield><subfield code="v">76.</subfield><subfield code="0">http://id.loc.gov/authorities/names/n42015587</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="l">FWS01</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552524</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Askews and Holts Library Services</subfield><subfield code="b">ASKH</subfield><subfield code="n">AH13428534</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Askews and Holts Library Services</subfield><subfield code="b">ASKH</subfield><subfield code="n">AH26385442</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ProQuest Ebook Central</subfield><subfield code="b">EBLB</subfield><subfield code="n">EBL1182399</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ebrary</subfield><subfield code="b">EBRY</subfield><subfield code="n">ebr10455693</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBSCOhost</subfield><subfield code="b">EBSC</subfield><subfield code="n">552524</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ProQuest MyiLibrary Digital eBook Collection</subfield><subfield code="b">IDEB</subfield><subfield code="n">cis25154478</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">3582213</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">10370348</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">10407365</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">10689636</subfield></datafield><datafield tag="994" ind1=" " ind2=" "><subfield code="a">92</subfield><subfield code="b">GEBAY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-4-EBA</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-863</subfield></datafield></record></collection> |
| genre | Electronic books. |
| genre_facet | Electronic books. |
| id | ZDB-4-EBA-ocn776957528 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:18:15Z |
| institution | BVB |
| isbn | 9781107361102 1107361109 9780511662836 0511662831 9781107366015 1107366011 1139886010 9781139886017 1107370744 9781107370746 1107369258 9781107369252 1299403816 9781299403819 1107363551 9781107363557 |
| language | English |
| oclc_num | 776957528 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (356 pages) |
| psigel | ZDB-4-EBA |
| publishDate | 1987 |
| publishDateSearch | 1987 |
| publishDateSort | 1987 |
| publisher | Cambridge University Press, |
| record_format | marc |
| series | London Mathematical Society lecture note series ; |
| series2 | London Mathematical Society lecture note series ; |
| spelling | Cordes, H. O. (Heinz Otto), 1925- https://id.oclc.org/worldcat/entity/E39PBJmP6hF6w9rhkCCkmRw6Kd http://id.loc.gov/authorities/names/n79116348 Spectral theory of linear differential operators and comparison algebras / Heinz Otto Cordes. Cambridge ; New York : Cambridge University Press, ©1987. 1 online resource (356 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 76 Includes bibliographical references and index. Print version record. The main aim of this book is to introduce the reader to the concept of comparison algebra, defined as a type of C*-algebra of singular integral operators. Cover -- Title -- Copyright -- Preface -- Contents -- Chapter 1. Abstract spectral theory in Hilbert spaces -- 1.1. Unbounded linear operators on Banach and Hilbert spaces -- 1.2. Self-adjoint extensions of hermitian operators -- 1.3. On the spectral theorem for self-adjoint operators. -- 1.4. Proof of the spectral theorem -- 1.5. A result on powers of positive operators -- 1.6. On HS-chains 2 -- Chapter 2. Spectral theory of differential operators -- 2.1. Linear differential operators on a subdomain of ln -- 2.2. Generalized boundary problems. Ordinary differential expressions -- 2.3. Singular endpoints of a 2r-th order Sturm-Liouville problem -- 2.4. The spectral theorem for a second order expression -- Chapter 3. Second order elliptic expressions on manifolds -- 3.1. 2-nd order partial differential expressions on manifolds -- Weyl!s lemma -- Dirichlet operator -- 3.2. Boundary regularity for the Dirichlet realization -- 3.3. Compactness of the resolvent of the Friedrichs extension -- 3.4. A Green's function for H and Hd and a mean value inequality -- 3.5. Harnack inequality -- Dirichlet problem. Maximum principle -- 3.6. Change of dependent variable -- normal forms -- positivity of the Green's function -- Chapter 4. Essential self-adjointness of the Minimal Operator -- 4.1. Essential self-adjointness of powers of H0 -- 4.2. Essential self-adjointness of HQ -- 4.3. Proof of theorem 1.1 -- 4.4. Proof of Frehse's theorem -- 4.5. More criteria for essential self-adjointness -- Chapter 5. C -Comparison algebras -- 5.1. Comparison operators and comparison algebras -- 5.2. Differential expressions of order _<2. 5.3. Compactness criteria for commutators -- 5.4. Comparison algebras with compact commutators -- 5.5. A discussion of one-dimensional problems -- 5.6. An expansion for expressions within reach of an algebra C -- Chapter 6. Minimal comparison algebra and wave front space. -- 6.1. The local invariance of the minimal comparison algebra -- 6.2. The wave front space -- 6.3. Differential expressions within reach of the algebra J0 -- 6.4. The Sobolev estimate for elliptic expressions expressions on a compact -- Chapter 7. The secondary symbol space. 7.1. The symbol space of a general comparison algebra -- 7.2. The space flAw, and some examples -- 7.3. Stronger conditions and more detail on M\W . -- 7.4. More structure of ffi, and more on examples -- Chapter 8. Comparison algebras with non-compact commutators -- 8.1. An algebra invariant under a discrete translation group -- 8.2. A C -algebra on a poly-cylinder -- 8.3. Algebra surgery -- 8.4. Complete Riemannian manifolds with cylindrical ends -- Chapter 9. H -Algebras -- higher order s operators within reach. English. Differential operators. http://id.loc.gov/authorities/subjects/sh85037921 Linear operators. http://id.loc.gov/authorities/subjects/sh85077178 Opérateurs différentiels. Opérateurs linéaires. MATHEMATICS Functional Analysis. bisacsh Differential operators fast Linear operators fast Electronic books. has work: Spectral theory of linear differential operators and comparison algebras (Text) https://id.oclc.org/worldcat/entity/E39PCG7KpfqgpDYKPK6M6v3GBK https://id.oclc.org/worldcat/ontology/hasWork Print version: Cordes, H.O. (Heinz Otto), 1925- Spectral theory of linear differential operators and comparison algebras. Cambridge : Cambridge University Press, 1987 9780511662836 London Mathematical Society lecture note series ; 76. http://id.loc.gov/authorities/names/n42015587 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552524 Volltext |
| spellingShingle | Cordes, H. O. (Heinz Otto), 1925- Spectral theory of linear differential operators and comparison algebras / London Mathematical Society lecture note series ; Cover -- Title -- Copyright -- Preface -- Contents -- Chapter 1. Abstract spectral theory in Hilbert spaces -- 1.1. Unbounded linear operators on Banach and Hilbert spaces -- 1.2. Self-adjoint extensions of hermitian operators -- 1.3. On the spectral theorem for self-adjoint operators. -- 1.4. Proof of the spectral theorem -- 1.5. A result on powers of positive operators -- 1.6. On HS-chains 2 -- Chapter 2. Spectral theory of differential operators -- 2.1. Linear differential operators on a subdomain of ln -- 2.2. Generalized boundary problems. Ordinary differential expressions -- 2.3. Singular endpoints of a 2r-th order Sturm-Liouville problem -- 2.4. The spectral theorem for a second order expression -- Chapter 3. Second order elliptic expressions on manifolds -- 3.1. 2-nd order partial differential expressions on manifolds -- Weyl!s lemma -- Dirichlet operator -- 3.2. Boundary regularity for the Dirichlet realization -- 3.3. Compactness of the resolvent of the Friedrichs extension -- 3.4. A Green's function for H and Hd and a mean value inequality -- 3.5. Harnack inequality -- Dirichlet problem. Maximum principle -- 3.6. Change of dependent variable -- normal forms -- positivity of the Green's function -- Chapter 4. Essential self-adjointness of the Minimal Operator -- 4.1. Essential self-adjointness of powers of H0 -- 4.2. Essential self-adjointness of HQ -- 4.3. Proof of theorem 1.1 -- 4.4. Proof of Frehse's theorem -- 4.5. More criteria for essential self-adjointness -- Chapter 5. C -Comparison algebras -- 5.1. Comparison operators and comparison algebras -- 5.2. Differential expressions of order _<2. 5.3. Compactness criteria for commutators -- 5.4. Comparison algebras with compact commutators -- 5.5. A discussion of one-dimensional problems -- 5.6. An expansion for expressions within reach of an algebra C -- Chapter 6. Minimal comparison algebra and wave front space. -- 6.1. The local invariance of the minimal comparison algebra -- 6.2. The wave front space -- 6.3. Differential expressions within reach of the algebra J0 -- 6.4. The Sobolev estimate for elliptic expressions expressions on a compact -- Chapter 7. The secondary symbol space. 7.1. The symbol space of a general comparison algebra -- 7.2. The space flAw, and some examples -- 7.3. Stronger conditions and more detail on M\W . -- 7.4. More structure of ffi, and more on examples -- Chapter 8. Comparison algebras with non-compact commutators -- 8.1. An algebra invariant under a discrete translation group -- 8.2. A C -algebra on a poly-cylinder -- 8.3. Algebra surgery -- 8.4. Complete Riemannian manifolds with cylindrical ends -- Chapter 9. H -Algebras -- higher order s operators within reach. Differential operators. http://id.loc.gov/authorities/subjects/sh85037921 Linear operators. http://id.loc.gov/authorities/subjects/sh85077178 Opérateurs différentiels. Opérateurs linéaires. MATHEMATICS Functional Analysis. bisacsh Differential operators fast Linear operators fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85037921 http://id.loc.gov/authorities/subjects/sh85077178 |
| title | Spectral theory of linear differential operators and comparison algebras / |
| title_auth | Spectral theory of linear differential operators and comparison algebras / |
| title_exact_search | Spectral theory of linear differential operators and comparison algebras / |
| title_full | Spectral theory of linear differential operators and comparison algebras / Heinz Otto Cordes. |
| title_fullStr | Spectral theory of linear differential operators and comparison algebras / Heinz Otto Cordes. |
| title_full_unstemmed | Spectral theory of linear differential operators and comparison algebras / Heinz Otto Cordes. |
| title_short | Spectral theory of linear differential operators and comparison algebras / |
| title_sort | spectral theory of linear differential operators and comparison algebras |
| topic | Differential operators. http://id.loc.gov/authorities/subjects/sh85037921 Linear operators. http://id.loc.gov/authorities/subjects/sh85077178 Opérateurs différentiels. Opérateurs linéaires. MATHEMATICS Functional Analysis. bisacsh Differential operators fast Linear operators fast |
| topic_facet | Differential operators. Linear operators. Opérateurs différentiels. Opérateurs linéaires. MATHEMATICS Functional Analysis. Differential operators Linear operators Electronic books. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552524 |
| work_keys_str_mv | AT cordesho spectraltheoryoflineardifferentialoperatorsandcomparisonalgebras |