Spectral theory of block operator matrices and applications /:
"This book presents a wide panorama of methods to investigate the spectral properties of block operator matrices. Particular emphasis is placed on classes of block operator matrices to which standard operator theoretical methods do not readily apply: nonselfadjoint block operator matrices, bloc...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
London : Singapore ; Hackensack, NJ :
Imperial College Press ; Distributed by World Scientific Pub.,
©2008.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "This book presents a wide panorama of methods to investigate the spectral properties of block operator matrices. Particular emphasis is placed on classes of block operator matrices to which standard operator theoretical methods do not readily apply: nonselfadjoint block operator matrices, block operator matrices with unbounded entries, non-semibounded block operator matrices, and classes of block operator matrices arising in mathematical physics."--Back cover |
| Beschreibung: | 1 online resource (xxxii, 264 pages) : color illustrations |
| Bibliographie: | Includes bibliographical references (pages 239-260) and index. |
| ISBN: | 9781848161122 1848161123 |
Internformat
MARC
| LEADER | 00000cam a2200000 a 4500 | ||
|---|---|---|---|
| 001 | ZDB-4-EBA-ocn830324576 | ||
| 003 | OCoLC | ||
| 005 | 20241004212047.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 130318s2008 enka ob 001 0 eng d | ||
| 040 | |a N$T |b eng |e pn |c N$T |d M6U |d E7B |d DEBSZ |d IDEBK |d YDXCP |d OCLCQ |d OCLCF |d OCLCQ |d LOA |d OCLCQ |d OCLCO |d JBG |d AGLDB |d TOA |d OCLCO |d MOR |d CCO |d PIFAG |d MERUC |d OCLCQ |d ZCU |d U3W |d STF |d WRM |d VTS |d NRAMU |d ICG |d INT |d REC |d VT2 |d OCLCO |d AU@ |d OCLCO |d OCLCQ |d WYU |d OCLCO |d OCLCQ |d DKC |d OCLCO |d OCLCQ |d OCLCO |d M8D |d UKAHL |d OCLCQ |d LEAUB |d UKCRE |d AJS |d OCLCQ |d TUHNV |d OCLCO |d OCLCQ |d OCLCO |d OCLCL |d SXB |d OCLCQ | ||
| 015 | |a GBA8E0566 |2 bnb | ||
| 016 | 7 | |a 014559214 |2 Uk | |
| 019 | |a 696629411 |a 960202890 |a 961599327 |a 962703356 |a 965980270 |a 988445337 |a 991995455 |a 1037772368 |a 1038654205 |a 1045457542 |a 1055407709 |a 1066423524 |a 1081259851 |a 1086426312 |a 1153502175 |a 1228544279 |a 1243592409 | ||
| 020 | |a 9781848161122 |q (electronic bk.) | ||
| 020 | |a 1848161123 |q (electronic bk.) | ||
| 020 | |z 9781860947681 | ||
| 020 | |z 1860947689 | ||
| 035 | |a (OCoLC)830324576 |z (OCoLC)696629411 |z (OCoLC)960202890 |z (OCoLC)961599327 |z (OCoLC)962703356 |z (OCoLC)965980270 |z (OCoLC)988445337 |z (OCoLC)991995455 |z (OCoLC)1037772368 |z (OCoLC)1038654205 |z (OCoLC)1045457542 |z (OCoLC)1055407709 |z (OCoLC)1066423524 |z (OCoLC)1081259851 |z (OCoLC)1086426312 |z (OCoLC)1153502175 |z (OCoLC)1228544279 |z (OCoLC)1243592409 | ||
| 050 | 4 | |a QA329 |b .T74 2008eb | |
| 072 | 7 | |a MAT |x 037000 |2 bisacsh | |
| 082 | 7 | |a 515.724 |2 22 | |
| 084 | |a 47A10 |2 msc | ||
| 084 | |a SK 620 |2 rvk | ||
| 049 | |a MAIN | ||
| 100 | 1 | |a Tretter, Christiane. | |
| 245 | 1 | 0 | |a Spectral theory of block operator matrices and applications / |c Christiane Tretter. |
| 260 | |a London : |b Imperial College Press ; |a Singapore ; |a Hackensack, NJ : |b Distributed by World Scientific Pub., |c ©2008. | ||
| 300 | |a 1 online resource (xxxii, 264 pages) : |b color illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a data file |2 rda | ||
| 380 | |a Bibliography | ||
| 504 | |a Includes bibliographical references (pages 239-260) and index. | ||
| 505 | 0 | |a 1. Bounded Block Operator Matrices -- Quadratic Numerical Range -- Special Classes of Block Operator Matrices -- Spectral Inclusion -- Estimates of the Resolvent -- Corners of the Quadratic Numerical Range -- Schur Complements and Their Factorization -- Block Diagonalization -- Spectral Supporting Subspaces -- Variational Principles for Eigenvalues in Gaps -- J-Self-Adjoint Block Operator Matrices -- Block Numerical Range -- Numerical Ranges of Operator Polynomials -- Gershgorin's Theorem for Block Operator Matrices -- 2. Unbounded Block Operator Matrices -- Relative Boundedness and Relative Compactness -- Closedness and Closability of Block Operator Matrices -- Spectrum and Resolvent -- Essential Spectrum -- Spectral Inclusion -- Symmetric and J-Symmetric Block Operator Matrices -- Dichotomous Block Operator Matrices and Riccati Equations -- Block Diagonalization and Half Range Completeness -- Uniqueness Results for Solutions of Riccati Equations -- Variational Principles -- Eigenvalue Estimates -- 3. Applications in Mathematical Physics -- Upper Dominant Block Operator Matrices in Magnetohydrodynamics -- Diagonally Dominant Block Operator Matrices in Fluid Mechanics -- Off-Diagonally Dominant Block Operator Matrices in Quantum Mechanics. | |
| 520 | 1 | |a "This book presents a wide panorama of methods to investigate the spectral properties of block operator matrices. Particular emphasis is placed on classes of block operator matrices to which standard operator theoretical methods do not readily apply: nonselfadjoint block operator matrices, block operator matrices with unbounded entries, non-semibounded block operator matrices, and classes of block operator matrices arising in mathematical physics."--Back cover | |
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Operator theory. |0 http://id.loc.gov/authorities/subjects/sh85095029 | |
| 650 | 0 | |a Matrices. |0 http://id.loc.gov/authorities/subjects/sh85082210 | |
| 650 | 0 | |a Spectral theory (Mathematics) |0 http://id.loc.gov/authorities/subjects/sh85126408 | |
| 650 | 6 | |a Théorie des opérateurs. | |
| 650 | 6 | |a Matrices. | |
| 650 | 6 | |a Spectre (Mathématiques) | |
| 650 | 7 | |a MATHEMATICS |x Functional Analysis. |2 bisacsh | |
| 650 | 7 | |a Matrices |2 fast | |
| 650 | 7 | |a Operator theory |2 fast | |
| 650 | 7 | |a Spectral theory (Mathematics) |2 fast | |
| 650 | 7 | |a Operatormatrix |2 gnd |0 http://d-nb.info/gnd/4358853-0 | |
| 758 | |i has work: |a Spectral theory of block operator matrices and applications (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGVwGy7gT4vMvHbGPYqwQ3 |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Tretter, Christiane. |t Spectral theory of block operator matrices and applications. |d London : Imperial College Press ; Singapore ; Hackensack, NJ : Distributed by World Scientific Pub., ©2008 |z 9781860947681 |w (DLC) 2009275126 |w (OCoLC)148821664 |
| 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=519148 |3 Volltext |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH24682535 | ||
| 938 | |a ebrary |b EBRY |n ebr10687999 | ||
| 938 | |a EBSCOhost |b EBSC |n 519148 | ||
| 938 | |a ProQuest MyiLibrary Digital eBook Collection |b IDEB |n cis26007496 | ||
| 938 | |a YBP Library Services |b YANK |n 9979774 | ||
| 994 | |a 92 |b GEBAY | ||
| 912 | |a ZDB-4-EBA | ||
| 049 | |a DE-863 | ||
Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn830324576 |
|---|---|
| _version_ | 1816882225612849153 |
| adam_text | |
| any_adam_object | |
| author | Tretter, Christiane |
| author_facet | Tretter, Christiane |
| author_role | |
| author_sort | Tretter, Christiane |
| author_variant | c t ct |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA329 |
| callnumber-raw | QA329 .T74 2008eb |
| callnumber-search | QA329 .T74 2008eb |
| callnumber-sort | QA 3329 T74 42008EB |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 620 |
| collection | ZDB-4-EBA |
| contents | 1. Bounded Block Operator Matrices -- Quadratic Numerical Range -- Special Classes of Block Operator Matrices -- Spectral Inclusion -- Estimates of the Resolvent -- Corners of the Quadratic Numerical Range -- Schur Complements and Their Factorization -- Block Diagonalization -- Spectral Supporting Subspaces -- Variational Principles for Eigenvalues in Gaps -- J-Self-Adjoint Block Operator Matrices -- Block Numerical Range -- Numerical Ranges of Operator Polynomials -- Gershgorin's Theorem for Block Operator Matrices -- 2. Unbounded Block Operator Matrices -- Relative Boundedness and Relative Compactness -- Closedness and Closability of Block Operator Matrices -- Spectrum and Resolvent -- Essential Spectrum -- Spectral Inclusion -- Symmetric and J-Symmetric Block Operator Matrices -- Dichotomous Block Operator Matrices and Riccati Equations -- Block Diagonalization and Half Range Completeness -- Uniqueness Results for Solutions of Riccati Equations -- Variational Principles -- Eigenvalue Estimates -- 3. Applications in Mathematical Physics -- Upper Dominant Block Operator Matrices in Magnetohydrodynamics -- Diagonally Dominant Block Operator Matrices in Fluid Mechanics -- Off-Diagonally Dominant Block Operator Matrices in Quantum Mechanics. |
| ctrlnum | (OCoLC)830324576 |
| dewey-full | 515.724 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.724 |
| dewey-search | 515.724 |
| dewey-sort | 3515.724 |
| 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>05437cam a2200673 a 4500</leader><controlfield tag="001">ZDB-4-EBA-ocn830324576</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">130318s2008 enka ob 001 0 eng d</controlfield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">N$T</subfield><subfield code="b">eng</subfield><subfield code="e">pn</subfield><subfield code="c">N$T</subfield><subfield code="d">M6U</subfield><subfield code="d">E7B</subfield><subfield code="d">DEBSZ</subfield><subfield code="d">IDEBK</subfield><subfield code="d">YDXCP</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCF</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">LOA</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">JBG</subfield><subfield code="d">AGLDB</subfield><subfield code="d">TOA</subfield><subfield code="d">OCLCO</subfield><subfield code="d">MOR</subfield><subfield code="d">CCO</subfield><subfield code="d">PIFAG</subfield><subfield code="d">MERUC</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">ZCU</subfield><subfield code="d">U3W</subfield><subfield code="d">STF</subfield><subfield code="d">WRM</subfield><subfield code="d">VTS</subfield><subfield code="d">NRAMU</subfield><subfield code="d">ICG</subfield><subfield code="d">INT</subfield><subfield code="d">REC</subfield><subfield code="d">VT2</subfield><subfield code="d">OCLCO</subfield><subfield code="d">AU@</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">WYU</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">DKC</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">M8D</subfield><subfield code="d">UKAHL</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">LEAUB</subfield><subfield code="d">UKCRE</subfield><subfield code="d">AJS</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">TUHNV</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCL</subfield><subfield code="d">SXB</subfield><subfield code="d">OCLCQ</subfield></datafield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">GBA8E0566</subfield><subfield code="2">bnb</subfield></datafield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">014559214</subfield><subfield code="2">Uk</subfield></datafield><datafield tag="019" ind1=" " ind2=" "><subfield code="a">696629411</subfield><subfield code="a">960202890</subfield><subfield code="a">961599327</subfield><subfield code="a">962703356</subfield><subfield code="a">965980270</subfield><subfield code="a">988445337</subfield><subfield code="a">991995455</subfield><subfield code="a">1037772368</subfield><subfield code="a">1038654205</subfield><subfield code="a">1045457542</subfield><subfield code="a">1055407709</subfield><subfield code="a">1066423524</subfield><subfield code="a">1081259851</subfield><subfield code="a">1086426312</subfield><subfield code="a">1153502175</subfield><subfield code="a">1228544279</subfield><subfield code="a">1243592409</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781848161122</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1848161123</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9781860947681</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">1860947689</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)830324576</subfield><subfield code="z">(OCoLC)696629411</subfield><subfield code="z">(OCoLC)960202890</subfield><subfield code="z">(OCoLC)961599327</subfield><subfield code="z">(OCoLC)962703356</subfield><subfield code="z">(OCoLC)965980270</subfield><subfield code="z">(OCoLC)988445337</subfield><subfield code="z">(OCoLC)991995455</subfield><subfield code="z">(OCoLC)1037772368</subfield><subfield code="z">(OCoLC)1038654205</subfield><subfield code="z">(OCoLC)1045457542</subfield><subfield code="z">(OCoLC)1055407709</subfield><subfield code="z">(OCoLC)1066423524</subfield><subfield code="z">(OCoLC)1081259851</subfield><subfield code="z">(OCoLC)1086426312</subfield><subfield code="z">(OCoLC)1153502175</subfield><subfield code="z">(OCoLC)1228544279</subfield><subfield code="z">(OCoLC)1243592409</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA329</subfield><subfield code="b">.T74 2008eb</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">515.724</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">47A10</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 620</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">MAIN</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Tretter, Christiane.</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Spectral theory of block operator matrices and applications /</subfield><subfield code="c">Christiane Tretter.</subfield></datafield><datafield tag="260" ind1=" " ind2=" "><subfield code="a">London :</subfield><subfield code="b">Imperial College Press ;</subfield><subfield code="a">Singapore ;</subfield><subfield code="a">Hackensack, NJ :</subfield><subfield code="b">Distributed by World Scientific Pub.,</subfield><subfield code="c">©2008.</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xxxii, 264 pages) :</subfield><subfield code="b">color illustrations</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="347" ind1=" " ind2=" "><subfield code="a">data file</subfield><subfield code="2">rda</subfield></datafield><datafield tag="380" ind1=" " ind2=" "><subfield code="a">Bibliography</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references (pages 239-260) and index.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">1. Bounded Block Operator Matrices -- Quadratic Numerical Range -- Special Classes of Block Operator Matrices -- Spectral Inclusion -- Estimates of the Resolvent -- Corners of the Quadratic Numerical Range -- Schur Complements and Their Factorization -- Block Diagonalization -- Spectral Supporting Subspaces -- Variational Principles for Eigenvalues in Gaps -- J-Self-Adjoint Block Operator Matrices -- Block Numerical Range -- Numerical Ranges of Operator Polynomials -- Gershgorin's Theorem for Block Operator Matrices -- 2. Unbounded Block Operator Matrices -- Relative Boundedness and Relative Compactness -- Closedness and Closability of Block Operator Matrices -- Spectrum and Resolvent -- Essential Spectrum -- Spectral Inclusion -- Symmetric and J-Symmetric Block Operator Matrices -- Dichotomous Block Operator Matrices and Riccati Equations -- Block Diagonalization and Half Range Completeness -- Uniqueness Results for Solutions of Riccati Equations -- Variational Principles -- Eigenvalue Estimates -- 3. Applications in Mathematical Physics -- Upper Dominant Block Operator Matrices in Magnetohydrodynamics -- Diagonally Dominant Block Operator Matrices in Fluid Mechanics -- Off-Diagonally Dominant Block Operator Matrices in Quantum Mechanics.</subfield></datafield><datafield tag="520" ind1="1" ind2=" "><subfield code="a">"This book presents a wide panorama of methods to investigate the spectral properties of block operator matrices. Particular emphasis is placed on classes of block operator matrices to which standard operator theoretical methods do not readily apply: nonselfadjoint block operator matrices, block operator matrices with unbounded entries, non-semibounded block operator matrices, and classes of block operator matrices arising in mathematical physics."--Back cover</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Print version record.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Operator theory.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85095029</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Matrices.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85082210</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Spectral theory (Mathematics)</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85126408</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Théorie des opérateurs.</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Matrices.</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Spectre (Mathématiques)</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">Matrices</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Operator theory</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Spectral theory (Mathematics)</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Operatormatrix</subfield><subfield code="2">gnd</subfield><subfield code="0">http://d-nb.info/gnd/4358853-0</subfield></datafield><datafield tag="758" ind1=" " ind2=" "><subfield code="i">has work:</subfield><subfield code="a">Spectral theory of block operator matrices and applications (Text)</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PCGVwGy7gT4vMvHbGPYqwQ3</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">Tretter, Christiane.</subfield><subfield code="t">Spectral theory of block operator matrices and applications.</subfield><subfield code="d">London : Imperial College Press ; Singapore ; Hackensack, NJ : Distributed by World Scientific Pub., ©2008</subfield><subfield code="z">9781860947681</subfield><subfield code="w">(DLC) 2009275126</subfield><subfield code="w">(OCoLC)148821664</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=519148</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">AH24682535</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ebrary</subfield><subfield code="b">EBRY</subfield><subfield code="n">ebr10687999</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBSCOhost</subfield><subfield code="b">EBSC</subfield><subfield code="n">519148</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ProQuest MyiLibrary Digital eBook Collection</subfield><subfield code="b">IDEB</subfield><subfield code="n">cis26007496</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">9979774</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> |
| id | ZDB-4-EBA-ocn830324576 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:25:14Z |
| institution | BVB |
| isbn | 9781848161122 1848161123 |
| language | English |
| oclc_num | 830324576 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xxxii, 264 pages) : color illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Imperial College Press ; Distributed by World Scientific Pub., |
| record_format | marc |
| spelling | Tretter, Christiane. Spectral theory of block operator matrices and applications / Christiane Tretter. London : Imperial College Press ; Singapore ; Hackensack, NJ : Distributed by World Scientific Pub., ©2008. 1 online resource (xxxii, 264 pages) : color illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier data file rda Bibliography Includes bibliographical references (pages 239-260) and index. 1. Bounded Block Operator Matrices -- Quadratic Numerical Range -- Special Classes of Block Operator Matrices -- Spectral Inclusion -- Estimates of the Resolvent -- Corners of the Quadratic Numerical Range -- Schur Complements and Their Factorization -- Block Diagonalization -- Spectral Supporting Subspaces -- Variational Principles for Eigenvalues in Gaps -- J-Self-Adjoint Block Operator Matrices -- Block Numerical Range -- Numerical Ranges of Operator Polynomials -- Gershgorin's Theorem for Block Operator Matrices -- 2. Unbounded Block Operator Matrices -- Relative Boundedness and Relative Compactness -- Closedness and Closability of Block Operator Matrices -- Spectrum and Resolvent -- Essential Spectrum -- Spectral Inclusion -- Symmetric and J-Symmetric Block Operator Matrices -- Dichotomous Block Operator Matrices and Riccati Equations -- Block Diagonalization and Half Range Completeness -- Uniqueness Results for Solutions of Riccati Equations -- Variational Principles -- Eigenvalue Estimates -- 3. Applications in Mathematical Physics -- Upper Dominant Block Operator Matrices in Magnetohydrodynamics -- Diagonally Dominant Block Operator Matrices in Fluid Mechanics -- Off-Diagonally Dominant Block Operator Matrices in Quantum Mechanics. "This book presents a wide panorama of methods to investigate the spectral properties of block operator matrices. Particular emphasis is placed on classes of block operator matrices to which standard operator theoretical methods do not readily apply: nonselfadjoint block operator matrices, block operator matrices with unbounded entries, non-semibounded block operator matrices, and classes of block operator matrices arising in mathematical physics."--Back cover Print version record. Operator theory. http://id.loc.gov/authorities/subjects/sh85095029 Matrices. http://id.loc.gov/authorities/subjects/sh85082210 Spectral theory (Mathematics) http://id.loc.gov/authorities/subjects/sh85126408 Théorie des opérateurs. Matrices. Spectre (Mathématiques) MATHEMATICS Functional Analysis. bisacsh Matrices fast Operator theory fast Spectral theory (Mathematics) fast Operatormatrix gnd http://d-nb.info/gnd/4358853-0 has work: Spectral theory of block operator matrices and applications (Text) https://id.oclc.org/worldcat/entity/E39PCGVwGy7gT4vMvHbGPYqwQ3 https://id.oclc.org/worldcat/ontology/hasWork Print version: Tretter, Christiane. Spectral theory of block operator matrices and applications. London : Imperial College Press ; Singapore ; Hackensack, NJ : Distributed by World Scientific Pub., ©2008 9781860947681 (DLC) 2009275126 (OCoLC)148821664 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=519148 Volltext |
| spellingShingle | Tretter, Christiane Spectral theory of block operator matrices and applications / 1. Bounded Block Operator Matrices -- Quadratic Numerical Range -- Special Classes of Block Operator Matrices -- Spectral Inclusion -- Estimates of the Resolvent -- Corners of the Quadratic Numerical Range -- Schur Complements and Their Factorization -- Block Diagonalization -- Spectral Supporting Subspaces -- Variational Principles for Eigenvalues in Gaps -- J-Self-Adjoint Block Operator Matrices -- Block Numerical Range -- Numerical Ranges of Operator Polynomials -- Gershgorin's Theorem for Block Operator Matrices -- 2. Unbounded Block Operator Matrices -- Relative Boundedness and Relative Compactness -- Closedness and Closability of Block Operator Matrices -- Spectrum and Resolvent -- Essential Spectrum -- Spectral Inclusion -- Symmetric and J-Symmetric Block Operator Matrices -- Dichotomous Block Operator Matrices and Riccati Equations -- Block Diagonalization and Half Range Completeness -- Uniqueness Results for Solutions of Riccati Equations -- Variational Principles -- Eigenvalue Estimates -- 3. Applications in Mathematical Physics -- Upper Dominant Block Operator Matrices in Magnetohydrodynamics -- Diagonally Dominant Block Operator Matrices in Fluid Mechanics -- Off-Diagonally Dominant Block Operator Matrices in Quantum Mechanics. Operator theory. http://id.loc.gov/authorities/subjects/sh85095029 Matrices. http://id.loc.gov/authorities/subjects/sh85082210 Spectral theory (Mathematics) http://id.loc.gov/authorities/subjects/sh85126408 Théorie des opérateurs. Matrices. Spectre (Mathématiques) MATHEMATICS Functional Analysis. bisacsh Matrices fast Operator theory fast Spectral theory (Mathematics) fast Operatormatrix gnd http://d-nb.info/gnd/4358853-0 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85095029 http://id.loc.gov/authorities/subjects/sh85082210 http://id.loc.gov/authorities/subjects/sh85126408 http://d-nb.info/gnd/4358853-0 |
| title | Spectral theory of block operator matrices and applications / |
| title_auth | Spectral theory of block operator matrices and applications / |
| title_exact_search | Spectral theory of block operator matrices and applications / |
| title_full | Spectral theory of block operator matrices and applications / Christiane Tretter. |
| title_fullStr | Spectral theory of block operator matrices and applications / Christiane Tretter. |
| title_full_unstemmed | Spectral theory of block operator matrices and applications / Christiane Tretter. |
| title_short | Spectral theory of block operator matrices and applications / |
| title_sort | spectral theory of block operator matrices and applications |
| topic | Operator theory. http://id.loc.gov/authorities/subjects/sh85095029 Matrices. http://id.loc.gov/authorities/subjects/sh85082210 Spectral theory (Mathematics) http://id.loc.gov/authorities/subjects/sh85126408 Théorie des opérateurs. Matrices. Spectre (Mathématiques) MATHEMATICS Functional Analysis. bisacsh Matrices fast Operator theory fast Spectral theory (Mathematics) fast Operatormatrix gnd http://d-nb.info/gnd/4358853-0 |
| topic_facet | Operator theory. Matrices. Spectral theory (Mathematics) Théorie des opérateurs. Spectre (Mathématiques) MATHEMATICS Functional Analysis. Matrices Operator theory Operatormatrix |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=519148 |
| work_keys_str_mv | AT tretterchristiane spectraltheoryofblockoperatormatricesandapplications |