Applications of functional analysis and operator theory /:
Applications of functional analysis and operator theory.
Saved in:
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
London ; New York :
Academic Press,
1980.
|
| Series: | Mathematics in science and engineering ;
v. 146. |
| Subjects: | |
| Online Access: | DE-862 DE-863 DE-862 DE-863 |
| Summary: | Applications of functional analysis and operator theory. |
| Physical Description: | 1 online resource (xi, 389 pages) |
| Bibliography: | Includes bibliographical references (pages 371-375) and index. |
| ISBN: | 9780080956541 0080956548 1282288741 9781282288744 0123632609 9780123632609 |
Staff View
MARC
| LEADER | 00000cam a2200000 a 4500 | ||
|---|---|---|---|
| 001 | ZDB-4-EBA-ocn316568491 | ||
| 003 | OCoLC | ||
| 005 | 20250103110447.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 090320s1980 enk ob 001 0 eng d | ||
| 040 | |a OPELS |b eng |e pn |c OPELS |d N$T |d OCLCQ |d EBLCP |d IDEBK |d OPELS |d E7B |d OCLCQ |d TEF |d OCLCQ |d OCLCF |d DEBBG |d OCLCQ |d COO |d OCLCQ |d DEBSZ |d AGLDB |d OCLCQ |d VTS |d STF |d LEAUB |d M8D |d OCLCQ |d K6U |d INARC |d OCLCO |d SGP |d OCLCQ |d OCLCO |d OCLCL |d OCLCQ |d UKKRT | ||
| 019 | |a 646827483 |a 823843480 |a 823912109 |a 824099253 |a 824154667 | ||
| 020 | |a 9780080956541 |q (electronic bk.) | ||
| 020 | |a 0080956548 |q (electronic bk.) | ||
| 020 | |a 1282288741 | ||
| 020 | |a 9781282288744 | ||
| 020 | |a 0123632609 | ||
| 020 | |a 9780123632609 | ||
| 020 | |z 9780123632609 | ||
| 020 | |z 123632609 | ||
| 035 | |a (OCoLC)316568491 |z (OCoLC)646827483 |z (OCoLC)823843480 |z (OCoLC)823912109 |z (OCoLC)824099253 |z (OCoLC)824154667 | ||
| 050 | 4 | |a QA320 |b .H87 1980eb | |
| 072 | 7 | |a MAT |x 037000 |2 bisacsh | |
| 072 | 7 | |a GPF |2 bicssc | |
| 082 | 7 | |a 515/.7 |2 22 | |
| 049 | |a MAIN | ||
| 100 | 1 | |a Hutson, V. |0 http://id.loc.gov/authorities/names/n79136111 | |
| 245 | 1 | 0 | |a Applications of functional analysis and operator theory / |c V. Hutson and J.S. Pym. |
| 260 | |a London ; |a New York : |b Academic Press, |c 1980. | ||
| 300 | |a 1 online resource (xi, 389 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 Mathematics in science and engineering ; |v no. 146 | |
| 588 | 0 | |a Print version record. | |
| 504 | |a Includes bibliographical references (pages 371-375) and index. | ||
| 520 | |a Applications of functional analysis and operator theory. | ||
| 505 | 0 | |a Front Cover; Applications of Functional Analysis and Operator Theory; Copyright Page; Contents; Preface; Acknowledgements; Chapter 1. Banach Spaces; 1.1 Introduction; 1.2 Vector Spaces; 1.3 Normed Vector Spaces; 1.4 Banach Spaces; 1.5 Hilbert Space; Problems; Chapter 2. Lebesgue Integration and the Lp Spaces; 2.1 Introduction; 2.2 The Measure of a Set; 2.3 Measurable Functions; 2.4 Integration; 2.5 The Lp Spases; 2.6 Applications; Problems; Chapter 3. Foundations of Linear Operator Theory; 3.1 Introduction; 3.2 The Basic Terminology of Operator Theory | |
| 505 | 8 | |a 3.3 Some Algebraic Properties of Linear Operators3.4 Continuity and Boundedness; 3.5 Some Fundamental Properties of Bounded Operators; 3.6 First Results on the Solution of the Equation Lf = g; 3.7 Introduction to Spectral Theory; 3.8 Closed Operators and Differential Equations; Problems; Chapter 4. Introduction to Nonlinear Operators; 4.1 Introduction; 4.2 Preliminaries; 4.3 The Contraction Mapping Principle; 4.4 The Fréchet Derivative; 4.5 Newton's Method for Nonlinear Operators; Problems; Chapter 5. Compact Sets in Banach Spaces; 5.1 Introduction; 5.2 Definitions | |
| 505 | 8 | |a 5.3 Some Consequences of Compactness5.4 Some Important Compact Sets of Functions; Problems; Chapter 6. The Adjoint Operator; 6.1 Introduction; 6.2 The Dual of a Banach Space; 6.3 Weak Convergence; 6.4 Hilbert Space; 6.5 The Adjoint of a Bounded Linear Operator; 6.6 Bounded Self-adjoint Operators-Spectral Theory; 6.7 The Adjoint of an Unbounded Linear Operator in Hilbert Space; Problems; Chapter 7. Linear Compact Operators; 7.1 Introduction; 7.2 Examples of Compact Operators; 7.3 The Fredholm Alternative; 7.4 The Spectrum; 7.5 Compact Self-adjoint Operators | |
| 505 | 8 | |a 7.6 The Numerical Solution of Linear Integral EquationsProblems; Chapter 8. Nonlinear Compact Operators and Monotonicity; 8.1 Introduction; 8.2 The Schauder Fixed Point Theorem; 8.3 Positive and Monotone Operators in Partially Ordered Banach Spaces; Problems; Chapter 9. The Spectral Theorem; 9.1 Introduction; 9.2 Preliminaries; 9.3 Background to the Spectral Theorem; 9.4 The Spectral Theorem for Bounded Self-adjoint Operators; 9.5 The Spectrum and the Resolvent; 9.6 Unbounded Self-adjoint Operators; 9.7 The Solution of an Evolution Equation; Problems | |
| 505 | 8 | |a Chapter 10. Generalized Eigenfunction Expansions Associated with Ordinary Differential Equations10.1 Introduction; 10.2 Extensions of Symmetric Operators; 10.3 Formal Ordinary Differential Operators: Preliminaries; 10.4 Symmetric Operators Associated with Formal Ordinary Differential Operators; 10.5 The Construction of Self-adjoint Extensions; 10.6 Generalized Eigenfunction Expansions; Problems; Chapter 11. Linear Elliptic Partial Differential Equations; 11.1 Introduction; 11.2 Notation; 11.3 Weak Derivatives and Sobolev Spaces; 11.4 The Generalized Dirichlet Problem | |
| 650 | 0 | |a Functional analysis. |0 http://id.loc.gov/authorities/subjects/sh85052312 | |
| 650 | 0 | |a Operator theory. |0 http://id.loc.gov/authorities/subjects/sh85095029 | |
| 650 | 6 | |a Analyse fonctionnelle. | |
| 650 | 6 | |a Théorie des opérateurs. | |
| 650 | 7 | |a MATHEMATICS |x Functional Analysis. |2 bisacsh | |
| 650 | 7 | |a Functional analysis |2 fast | |
| 650 | 7 | |a Operator theory |2 fast | |
| 650 | 1 | 7 | |a Functionaalanalyse. |2 gtt |
| 650 | 1 | 7 | |a Operatoren. |2 gtt |
| 650 | 1 | 7 | |a Toepassingen. |2 gtt |
| 700 | 1 | |a Pym, J. S. |q (John Sydney), |d 1938- |1 https://id.oclc.org/worldcat/entity/E39PBJyMfkDJWQygdMjtfBtdwC |0 http://id.loc.gov/authorities/names/n79136109 | |
| 776 | 0 | 8 | |i Print version: |a Hutson, V. |t Applications of functional analysis and operator theory. |d London ; New York : Academic Press, 1980 |z 9780123632609 |w (DLC) 79050300 |w (OCoLC)5777427 |
| 830 | 0 | |a Mathematics in science and engineering ; |v v. 146. |0 http://id.loc.gov/authorities/names/n42015986 | |
| 966 | 4 | 0 | |l DE-862 |p ZDB-4-EBA |q FWS_PDA_EBA |u https://www.sciencedirect.com/science/bookseries/00765392/146 |3 Volltext |
| 966 | 4 | 0 | |l DE-863 |p ZDB-4-EBA |q FWS_PDA_EBA |u https://www.sciencedirect.com/science/bookseries/00765392/146 |3 Volltext |
| 966 | 4 | 0 | |l DE-862 |p ZDB-4-EBA |q FWS_PDA_EBA |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=297051 |3 Volltext |
| 966 | 4 | 0 | |l DE-863 |p ZDB-4-EBA |q FWS_PDA_EBA |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=297051 |3 Volltext |
| 938 | |a Kortext |b KTXT |n 13179 | ||
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL453027 | ||
| 938 | |a ebrary |b EBRY |n ebr10329422 | ||
| 938 | |a EBSCOhost |b EBSC |n 297051 | ||
| 938 | |a ProQuest MyiLibrary Digital eBook Collection |b IDEB |n 228874 | ||
| 938 | |a Internet Archive |b INAR |n applicationsoffu0000huts | ||
| 994 | |a 92 |b GEBAY | ||
| 912 | |a ZDB-4-EBA | ||
| 049 | |a DE-862 | ||
| 049 | |a DE-863 | ||
Record in the Search Index
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn316568491 |
|---|---|
| _version_ | 1829094640385523712 |
| adam_text | |
| any_adam_object | |
| author | Hutson, V. |
| author2 | Pym, J. S. (John Sydney), 1938- |
| author2_role | |
| author2_variant | j s p js jsp |
| author_GND | http://id.loc.gov/authorities/names/n79136111 http://id.loc.gov/authorities/names/n79136109 |
| author_facet | Hutson, V. Pym, J. S. (John Sydney), 1938- |
| author_role | |
| author_sort | Hutson, V. |
| author_variant | v h vh |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA320 |
| callnumber-raw | QA320 .H87 1980eb |
| callnumber-search | QA320 .H87 1980eb |
| callnumber-sort | QA 3320 H87 41980EB |
| callnumber-subject | QA - Mathematics |
| collection | ZDB-4-EBA |
| contents | Front Cover; Applications of Functional Analysis and Operator Theory; Copyright Page; Contents; Preface; Acknowledgements; Chapter 1. Banach Spaces; 1.1 Introduction; 1.2 Vector Spaces; 1.3 Normed Vector Spaces; 1.4 Banach Spaces; 1.5 Hilbert Space; Problems; Chapter 2. Lebesgue Integration and the Lp Spaces; 2.1 Introduction; 2.2 The Measure of a Set; 2.3 Measurable Functions; 2.4 Integration; 2.5 The Lp Spases; 2.6 Applications; Problems; Chapter 3. Foundations of Linear Operator Theory; 3.1 Introduction; 3.2 The Basic Terminology of Operator Theory 3.3 Some Algebraic Properties of Linear Operators3.4 Continuity and Boundedness; 3.5 Some Fundamental Properties of Bounded Operators; 3.6 First Results on the Solution of the Equation Lf = g; 3.7 Introduction to Spectral Theory; 3.8 Closed Operators and Differential Equations; Problems; Chapter 4. Introduction to Nonlinear Operators; 4.1 Introduction; 4.2 Preliminaries; 4.3 The Contraction Mapping Principle; 4.4 The Fréchet Derivative; 4.5 Newton's Method for Nonlinear Operators; Problems; Chapter 5. Compact Sets in Banach Spaces; 5.1 Introduction; 5.2 Definitions 5.3 Some Consequences of Compactness5.4 Some Important Compact Sets of Functions; Problems; Chapter 6. The Adjoint Operator; 6.1 Introduction; 6.2 The Dual of a Banach Space; 6.3 Weak Convergence; 6.4 Hilbert Space; 6.5 The Adjoint of a Bounded Linear Operator; 6.6 Bounded Self-adjoint Operators-Spectral Theory; 6.7 The Adjoint of an Unbounded Linear Operator in Hilbert Space; Problems; Chapter 7. Linear Compact Operators; 7.1 Introduction; 7.2 Examples of Compact Operators; 7.3 The Fredholm Alternative; 7.4 The Spectrum; 7.5 Compact Self-adjoint Operators 7.6 The Numerical Solution of Linear Integral EquationsProblems; Chapter 8. Nonlinear Compact Operators and Monotonicity; 8.1 Introduction; 8.2 The Schauder Fixed Point Theorem; 8.3 Positive and Monotone Operators in Partially Ordered Banach Spaces; Problems; Chapter 9. The Spectral Theorem; 9.1 Introduction; 9.2 Preliminaries; 9.3 Background to the Spectral Theorem; 9.4 The Spectral Theorem for Bounded Self-adjoint Operators; 9.5 The Spectrum and the Resolvent; 9.6 Unbounded Self-adjoint Operators; 9.7 The Solution of an Evolution Equation; Problems Chapter 10. Generalized Eigenfunction Expansions Associated with Ordinary Differential Equations10.1 Introduction; 10.2 Extensions of Symmetric Operators; 10.3 Formal Ordinary Differential Operators: Preliminaries; 10.4 Symmetric Operators Associated with Formal Ordinary Differential Operators; 10.5 The Construction of Self-adjoint Extensions; 10.6 Generalized Eigenfunction Expansions; Problems; Chapter 11. Linear Elliptic Partial Differential Equations; 11.1 Introduction; 11.2 Notation; 11.3 Weak Derivatives and Sobolev Spaces; 11.4 The Generalized Dirichlet Problem |
| ctrlnum | (OCoLC)316568491 |
| dewey-full | 515/.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.7 |
| dewey-search | 515/.7 |
| dewey-sort | 3515 17 |
| 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>06106cam a2200745 a 4500</leader><controlfield tag="001">ZDB-4-EBA-ocn316568491</controlfield><controlfield tag="003">OCoLC</controlfield><controlfield tag="005">20250103110447.0</controlfield><controlfield tag="006">m o d </controlfield><controlfield tag="007">cr cnu---unuuu</controlfield><controlfield tag="008">090320s1980 enk ob 001 0 eng d</controlfield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">OPELS</subfield><subfield code="b">eng</subfield><subfield code="e">pn</subfield><subfield code="c">OPELS</subfield><subfield code="d">N$T</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">EBLCP</subfield><subfield code="d">IDEBK</subfield><subfield code="d">OPELS</subfield><subfield code="d">E7B</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">TEF</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCF</subfield><subfield code="d">DEBBG</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">COO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">DEBSZ</subfield><subfield code="d">AGLDB</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">VTS</subfield><subfield code="d">STF</subfield><subfield code="d">LEAUB</subfield><subfield code="d">M8D</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">K6U</subfield><subfield code="d">INARC</subfield><subfield code="d">OCLCO</subfield><subfield code="d">SGP</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCL</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">UKKRT</subfield></datafield><datafield tag="019" ind1=" " ind2=" "><subfield code="a">646827483</subfield><subfield code="a">823843480</subfield><subfield code="a">823912109</subfield><subfield code="a">824099253</subfield><subfield code="a">824154667</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780080956541</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0080956548</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1282288741</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781282288744</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0123632609</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780123632609</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9780123632609</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">123632609</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)316568491</subfield><subfield code="z">(OCoLC)646827483</subfield><subfield code="z">(OCoLC)823843480</subfield><subfield code="z">(OCoLC)823912109</subfield><subfield code="z">(OCoLC)824099253</subfield><subfield code="z">(OCoLC)824154667</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA320</subfield><subfield code="b">.H87 1980eb</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="072" ind1=" " ind2="7"><subfield code="a">GPF</subfield><subfield code="2">bicssc</subfield></datafield><datafield tag="082" ind1="7" ind2=" "><subfield code="a">515/.7</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">Hutson, V.</subfield><subfield code="0">http://id.loc.gov/authorities/names/n79136111</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Applications of functional analysis and operator theory /</subfield><subfield code="c">V. Hutson and J.S. Pym.</subfield></datafield><datafield tag="260" ind1=" " ind2=" "><subfield code="a">London ;</subfield><subfield code="a">New York :</subfield><subfield code="b">Academic Press,</subfield><subfield code="c">1980.</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xi, 389 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">Mathematics in science and engineering ;</subfield><subfield code="v">no. 146</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Print version record.</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references (pages 371-375) and index.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Applications of functional analysis and operator theory.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">Front Cover; Applications of Functional Analysis and Operator Theory; Copyright Page; Contents; Preface; Acknowledgements; Chapter 1. Banach Spaces; 1.1 Introduction; 1.2 Vector Spaces; 1.3 Normed Vector Spaces; 1.4 Banach Spaces; 1.5 Hilbert Space; Problems; Chapter 2. Lebesgue Integration and the Lp Spaces; 2.1 Introduction; 2.2 The Measure of a Set; 2.3 Measurable Functions; 2.4 Integration; 2.5 The Lp Spases; 2.6 Applications; Problems; Chapter 3. Foundations of Linear Operator Theory; 3.1 Introduction; 3.2 The Basic Terminology of Operator Theory</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">3.3 Some Algebraic Properties of Linear Operators3.4 Continuity and Boundedness; 3.5 Some Fundamental Properties of Bounded Operators; 3.6 First Results on the Solution of the Equation Lf = g; 3.7 Introduction to Spectral Theory; 3.8 Closed Operators and Differential Equations; Problems; Chapter 4. Introduction to Nonlinear Operators; 4.1 Introduction; 4.2 Preliminaries; 4.3 The Contraction Mapping Principle; 4.4 The Fréchet Derivative; 4.5 Newton's Method for Nonlinear Operators; Problems; Chapter 5. Compact Sets in Banach Spaces; 5.1 Introduction; 5.2 Definitions</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">5.3 Some Consequences of Compactness5.4 Some Important Compact Sets of Functions; Problems; Chapter 6. The Adjoint Operator; 6.1 Introduction; 6.2 The Dual of a Banach Space; 6.3 Weak Convergence; 6.4 Hilbert Space; 6.5 The Adjoint of a Bounded Linear Operator; 6.6 Bounded Self-adjoint Operators-Spectral Theory; 6.7 The Adjoint of an Unbounded Linear Operator in Hilbert Space; Problems; Chapter 7. Linear Compact Operators; 7.1 Introduction; 7.2 Examples of Compact Operators; 7.3 The Fredholm Alternative; 7.4 The Spectrum; 7.5 Compact Self-adjoint Operators</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">7.6 The Numerical Solution of Linear Integral EquationsProblems; Chapter 8. Nonlinear Compact Operators and Monotonicity; 8.1 Introduction; 8.2 The Schauder Fixed Point Theorem; 8.3 Positive and Monotone Operators in Partially Ordered Banach Spaces; Problems; Chapter 9. The Spectral Theorem; 9.1 Introduction; 9.2 Preliminaries; 9.3 Background to the Spectral Theorem; 9.4 The Spectral Theorem for Bounded Self-adjoint Operators; 9.5 The Spectrum and the Resolvent; 9.6 Unbounded Self-adjoint Operators; 9.7 The Solution of an Evolution Equation; Problems</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">Chapter 10. Generalized Eigenfunction Expansions Associated with Ordinary Differential Equations10.1 Introduction; 10.2 Extensions of Symmetric Operators; 10.3 Formal Ordinary Differential Operators: Preliminaries; 10.4 Symmetric Operators Associated with Formal Ordinary Differential Operators; 10.5 The Construction of Self-adjoint Extensions; 10.6 Generalized Eigenfunction Expansions; Problems; Chapter 11. Linear Elliptic Partial Differential Equations; 11.1 Introduction; 11.2 Notation; 11.3 Weak Derivatives and Sobolev Spaces; 11.4 The Generalized Dirichlet Problem</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Functional analysis.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85052312</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="6"><subfield code="a">Analyse fonctionnelle.</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Théorie des opérateurs.</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">Functional analysis</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="1" ind2="7"><subfield code="a">Functionaalanalyse.</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1="1" ind2="7"><subfield code="a">Operatoren.</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1="1" ind2="7"><subfield code="a">Toepassingen.</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Pym, J. S.</subfield><subfield code="q">(John Sydney),</subfield><subfield code="d">1938-</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PBJyMfkDJWQygdMjtfBtdwC</subfield><subfield code="0">http://id.loc.gov/authorities/names/n79136109</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Print version:</subfield><subfield code="a">Hutson, V.</subfield><subfield code="t">Applications of functional analysis and operator theory.</subfield><subfield code="d">London ; New York : Academic Press, 1980</subfield><subfield code="z">9780123632609</subfield><subfield code="w">(DLC) 79050300</subfield><subfield code="w">(OCoLC)5777427</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Mathematics in science and engineering ;</subfield><subfield code="v">v. 146.</subfield><subfield code="0">http://id.loc.gov/authorities/names/n42015986</subfield></datafield><datafield tag="966" ind1="4" ind2="0"><subfield code="l">DE-862</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://www.sciencedirect.com/science/bookseries/00765392/146</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="4" ind2="0"><subfield code="l">DE-863</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://www.sciencedirect.com/science/bookseries/00765392/146</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="4" ind2="0"><subfield code="l">DE-862</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=297051</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="4" ind2="0"><subfield code="l">DE-863</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=297051</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Kortext</subfield><subfield code="b">KTXT</subfield><subfield code="n">13179</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ProQuest Ebook Central</subfield><subfield code="b">EBLB</subfield><subfield code="n">EBL453027</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ebrary</subfield><subfield code="b">EBRY</subfield><subfield code="n">ebr10329422</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBSCOhost</subfield><subfield code="b">EBSC</subfield><subfield code="n">297051</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ProQuest MyiLibrary Digital eBook Collection</subfield><subfield code="b">IDEB</subfield><subfield code="n">228874</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Internet Archive</subfield><subfield code="b">INAR</subfield><subfield code="n">applicationsoffu0000huts</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-862</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-863</subfield></datafield></record></collection> |
| id | ZDB-4-EBA-ocn316568491 |
| illustrated | Not Illustrated |
| indexdate | 2025-04-11T08:36:20Z |
| institution | BVB |
| isbn | 9780080956541 0080956548 1282288741 9781282288744 0123632609 9780123632609 |
| language | English |
| oclc_num | 316568491 |
| open_access_boolean | |
| owner | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| physical | 1 online resource (xi, 389 pages) |
| psigel | ZDB-4-EBA FWS_PDA_EBA ZDB-4-EBA |
| publishDate | 1980 |
| publishDateSearch | 1980 |
| publishDateSort | 1980 |
| publisher | Academic Press, |
| record_format | marc |
| series | Mathematics in science and engineering ; |
| series2 | Mathematics in science and engineering ; |
| spelling | Hutson, V. http://id.loc.gov/authorities/names/n79136111 Applications of functional analysis and operator theory / V. Hutson and J.S. Pym. London ; New York : Academic Press, 1980. 1 online resource (xi, 389 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Mathematics in science and engineering ; no. 146 Print version record. Includes bibliographical references (pages 371-375) and index. Applications of functional analysis and operator theory. Front Cover; Applications of Functional Analysis and Operator Theory; Copyright Page; Contents; Preface; Acknowledgements; Chapter 1. Banach Spaces; 1.1 Introduction; 1.2 Vector Spaces; 1.3 Normed Vector Spaces; 1.4 Banach Spaces; 1.5 Hilbert Space; Problems; Chapter 2. Lebesgue Integration and the Lp Spaces; 2.1 Introduction; 2.2 The Measure of a Set; 2.3 Measurable Functions; 2.4 Integration; 2.5 The Lp Spases; 2.6 Applications; Problems; Chapter 3. Foundations of Linear Operator Theory; 3.1 Introduction; 3.2 The Basic Terminology of Operator Theory 3.3 Some Algebraic Properties of Linear Operators3.4 Continuity and Boundedness; 3.5 Some Fundamental Properties of Bounded Operators; 3.6 First Results on the Solution of the Equation Lf = g; 3.7 Introduction to Spectral Theory; 3.8 Closed Operators and Differential Equations; Problems; Chapter 4. Introduction to Nonlinear Operators; 4.1 Introduction; 4.2 Preliminaries; 4.3 The Contraction Mapping Principle; 4.4 The Fréchet Derivative; 4.5 Newton's Method for Nonlinear Operators; Problems; Chapter 5. Compact Sets in Banach Spaces; 5.1 Introduction; 5.2 Definitions 5.3 Some Consequences of Compactness5.4 Some Important Compact Sets of Functions; Problems; Chapter 6. The Adjoint Operator; 6.1 Introduction; 6.2 The Dual of a Banach Space; 6.3 Weak Convergence; 6.4 Hilbert Space; 6.5 The Adjoint of a Bounded Linear Operator; 6.6 Bounded Self-adjoint Operators-Spectral Theory; 6.7 The Adjoint of an Unbounded Linear Operator in Hilbert Space; Problems; Chapter 7. Linear Compact Operators; 7.1 Introduction; 7.2 Examples of Compact Operators; 7.3 The Fredholm Alternative; 7.4 The Spectrum; 7.5 Compact Self-adjoint Operators 7.6 The Numerical Solution of Linear Integral EquationsProblems; Chapter 8. Nonlinear Compact Operators and Monotonicity; 8.1 Introduction; 8.2 The Schauder Fixed Point Theorem; 8.3 Positive and Monotone Operators in Partially Ordered Banach Spaces; Problems; Chapter 9. The Spectral Theorem; 9.1 Introduction; 9.2 Preliminaries; 9.3 Background to the Spectral Theorem; 9.4 The Spectral Theorem for Bounded Self-adjoint Operators; 9.5 The Spectrum and the Resolvent; 9.6 Unbounded Self-adjoint Operators; 9.7 The Solution of an Evolution Equation; Problems Chapter 10. Generalized Eigenfunction Expansions Associated with Ordinary Differential Equations10.1 Introduction; 10.2 Extensions of Symmetric Operators; 10.3 Formal Ordinary Differential Operators: Preliminaries; 10.4 Symmetric Operators Associated with Formal Ordinary Differential Operators; 10.5 The Construction of Self-adjoint Extensions; 10.6 Generalized Eigenfunction Expansions; Problems; Chapter 11. Linear Elliptic Partial Differential Equations; 11.1 Introduction; 11.2 Notation; 11.3 Weak Derivatives and Sobolev Spaces; 11.4 The Generalized Dirichlet Problem Functional analysis. http://id.loc.gov/authorities/subjects/sh85052312 Operator theory. http://id.loc.gov/authorities/subjects/sh85095029 Analyse fonctionnelle. Théorie des opérateurs. MATHEMATICS Functional Analysis. bisacsh Functional analysis fast Operator theory fast Functionaalanalyse. gtt Operatoren. gtt Toepassingen. gtt Pym, J. S. (John Sydney), 1938- https://id.oclc.org/worldcat/entity/E39PBJyMfkDJWQygdMjtfBtdwC http://id.loc.gov/authorities/names/n79136109 Print version: Hutson, V. Applications of functional analysis and operator theory. London ; New York : Academic Press, 1980 9780123632609 (DLC) 79050300 (OCoLC)5777427 Mathematics in science and engineering ; v. 146. http://id.loc.gov/authorities/names/n42015986 |
| spellingShingle | Hutson, V. Applications of functional analysis and operator theory / Mathematics in science and engineering ; Front Cover; Applications of Functional Analysis and Operator Theory; Copyright Page; Contents; Preface; Acknowledgements; Chapter 1. Banach Spaces; 1.1 Introduction; 1.2 Vector Spaces; 1.3 Normed Vector Spaces; 1.4 Banach Spaces; 1.5 Hilbert Space; Problems; Chapter 2. Lebesgue Integration and the Lp Spaces; 2.1 Introduction; 2.2 The Measure of a Set; 2.3 Measurable Functions; 2.4 Integration; 2.5 The Lp Spases; 2.6 Applications; Problems; Chapter 3. Foundations of Linear Operator Theory; 3.1 Introduction; 3.2 The Basic Terminology of Operator Theory 3.3 Some Algebraic Properties of Linear Operators3.4 Continuity and Boundedness; 3.5 Some Fundamental Properties of Bounded Operators; 3.6 First Results on the Solution of the Equation Lf = g; 3.7 Introduction to Spectral Theory; 3.8 Closed Operators and Differential Equations; Problems; Chapter 4. Introduction to Nonlinear Operators; 4.1 Introduction; 4.2 Preliminaries; 4.3 The Contraction Mapping Principle; 4.4 The Fréchet Derivative; 4.5 Newton's Method for Nonlinear Operators; Problems; Chapter 5. Compact Sets in Banach Spaces; 5.1 Introduction; 5.2 Definitions 5.3 Some Consequences of Compactness5.4 Some Important Compact Sets of Functions; Problems; Chapter 6. The Adjoint Operator; 6.1 Introduction; 6.2 The Dual of a Banach Space; 6.3 Weak Convergence; 6.4 Hilbert Space; 6.5 The Adjoint of a Bounded Linear Operator; 6.6 Bounded Self-adjoint Operators-Spectral Theory; 6.7 The Adjoint of an Unbounded Linear Operator in Hilbert Space; Problems; Chapter 7. Linear Compact Operators; 7.1 Introduction; 7.2 Examples of Compact Operators; 7.3 The Fredholm Alternative; 7.4 The Spectrum; 7.5 Compact Self-adjoint Operators 7.6 The Numerical Solution of Linear Integral EquationsProblems; Chapter 8. Nonlinear Compact Operators and Monotonicity; 8.1 Introduction; 8.2 The Schauder Fixed Point Theorem; 8.3 Positive and Monotone Operators in Partially Ordered Banach Spaces; Problems; Chapter 9. The Spectral Theorem; 9.1 Introduction; 9.2 Preliminaries; 9.3 Background to the Spectral Theorem; 9.4 The Spectral Theorem for Bounded Self-adjoint Operators; 9.5 The Spectrum and the Resolvent; 9.6 Unbounded Self-adjoint Operators; 9.7 The Solution of an Evolution Equation; Problems Chapter 10. Generalized Eigenfunction Expansions Associated with Ordinary Differential Equations10.1 Introduction; 10.2 Extensions of Symmetric Operators; 10.3 Formal Ordinary Differential Operators: Preliminaries; 10.4 Symmetric Operators Associated with Formal Ordinary Differential Operators; 10.5 The Construction of Self-adjoint Extensions; 10.6 Generalized Eigenfunction Expansions; Problems; Chapter 11. Linear Elliptic Partial Differential Equations; 11.1 Introduction; 11.2 Notation; 11.3 Weak Derivatives and Sobolev Spaces; 11.4 The Generalized Dirichlet Problem Functional analysis. http://id.loc.gov/authorities/subjects/sh85052312 Operator theory. http://id.loc.gov/authorities/subjects/sh85095029 Analyse fonctionnelle. Théorie des opérateurs. MATHEMATICS Functional Analysis. bisacsh Functional analysis fast Operator theory fast Functionaalanalyse. gtt Operatoren. gtt Toepassingen. gtt |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85052312 http://id.loc.gov/authorities/subjects/sh85095029 |
| title | Applications of functional analysis and operator theory / |
| title_auth | Applications of functional analysis and operator theory / |
| title_exact_search | Applications of functional analysis and operator theory / |
| title_full | Applications of functional analysis and operator theory / V. Hutson and J.S. Pym. |
| title_fullStr | Applications of functional analysis and operator theory / V. Hutson and J.S. Pym. |
| title_full_unstemmed | Applications of functional analysis and operator theory / V. Hutson and J.S. Pym. |
| title_short | Applications of functional analysis and operator theory / |
| title_sort | applications of functional analysis and operator theory |
| topic | Functional analysis. http://id.loc.gov/authorities/subjects/sh85052312 Operator theory. http://id.loc.gov/authorities/subjects/sh85095029 Analyse fonctionnelle. Théorie des opérateurs. MATHEMATICS Functional Analysis. bisacsh Functional analysis fast Operator theory fast Functionaalanalyse. gtt Operatoren. gtt Toepassingen. gtt |
| topic_facet | Functional analysis. Operator theory. Analyse fonctionnelle. Théorie des opérateurs. MATHEMATICS Functional Analysis. Functional analysis Operator theory Functionaalanalyse. Operatoren. Toepassingen. |
| work_keys_str_mv | AT hutsonv applicationsoffunctionalanalysisandoperatortheory AT pymjs applicationsoffunctionalanalysisandoperatortheory |