Applications of functional analysis and operator theory /:
Applications of functional analysis and operator theory.
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
London ; New York :
Academic Press,
1980.
|
| Schriftenreihe: | Mathematics in science and engineering ;
v. 146. |
| Schlagworte: | |
| Online-Zugang: | Volltext Volltext |
| Zusammenfassung: | Applications of functional analysis and operator theory. |
| Beschreibung: | 1 online resource (xi, 389 pages) |
| Bibliographie: | Includes bibliographical references (pages 371-375) and index. |
| ISBN: | 9780080956541 0080956548 1282288741 9781282288744 0123632609 9780123632609 |
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| 490 | 1 | |a Mathematics in science and engineering ; |v no. 146 | |
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| 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 | |
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| _version_ | 1816881689286148096 |
| adam_text | |
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| author | Hutson, V. |
| author2 | Pym, J. S. (John Sydney), 1938- |
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| 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- |
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| 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 |
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| dewey-full | 515/.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| discipline | Mathematik |
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| id | ZDB-4-EBA-ocn316568491 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:16:42Z |
| institution | BVB |
| isbn | 9780080956541 0080956548 1282288741 9781282288744 0123632609 9780123632609 |
| language | English |
| oclc_num | 316568491 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xi, 389 pages) |
| psigel | 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 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=297051 Volltext FWS01 ZDB-4-EBA FWS_PDA_EBA https://www.sciencedirect.com/science/bookseries/00765392/146 Volltext |
| 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. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=297051 https://www.sciencedirect.com/science/bookseries/00765392/146 |
| work_keys_str_mv | AT hutsonv applicationsoffunctionalanalysisandoperatortheory AT pymjs applicationsoffunctionalanalysisandoperatortheory |