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Applications of functional analysis and operator theory /
Applications of functional analysis and operator theory.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
London ; New York :
Academic Press,
1980.
|
| Colección: | Mathematics in science and engineering ;
v. 146. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
MARC
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| 100 | 1 | |a Hutson, V. | |
| 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 Fr�echet 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. | |
| 650 | 0 | |a Operator theory. | |
| 650 | 6 | |a Analyse fonctionnelle. |0 (CaQQLa)201-0001196 | |
| 650 | 6 | |a Th�eorie des op�erateurs. |0 (CaQQLa)201-0014171 | |
| 650 | 7 | |a MATHEMATICS |x Functional Analysis. |2 bisacsh | |
| 650 | 7 | |a Functional analysis |2 fast |0 (OCoLC)fst00936061 | |
| 650 | 7 | |a Operator theory |2 fast |0 (OCoLC)fst01046419 | |
| 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- | |
| 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. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780123632609 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=00765392&volume=146 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/00765392/146 |z Texto completo |