A short course on operator semigroups

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Hauptverfasser: Engel, Klaus-Jochen (VerfasserIn), Nagel, Rainer 1940- (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: New York, NY Springer 2006
Schriftenreihe:Universitext
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Datensatz im Suchindex

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adam_text Contents Preface I. Introduction 1. a. Basic Properties b. Standard Constructions 2. a. Finite-Dimensional Systems: Matrix Semigroups b. Uniformly Continuous Operator Semigroups 3. a. Multiplication Semigroups on Co b. Multiplication Semigroups on Lp(fi, c. II. Semigroups, Generators, and Resolvents 1. 2. a. Standard Constructions b. Standard Examples с 3. a. Hille-Yosida Theorems b. The Lumer-Phillips Theorem с x 4. 5. 6. III. Perturbation of Semigroups 1. 2. IV. Approximation of Semigroups 1. a. A Technical Tool: Pseudoresolvents b. The Approximation Theorems с 2. V. Spectral Theory and Asymptotics for Semigroups 1. a. Spectral Theory for Closed Operators b. Spectral Theory for Generators 2. a. Examples and Counterexamples b. Spectral Mapping Theorems for Semigroups 3. a. Stability Concepts b. Characterization of Uniform Exponential Stability с 4. VI. Positive Semigroups 1. 2. 3. 4. Appendix A. A Reminder of Some Functional Analysis and Operator Theory References Selected References to Recent Research List of Symbols and Abbreviations Index
adam_txt Contents Preface I. Introduction 1. a. Basic Properties b. Standard Constructions 2. a. Finite-Dimensional Systems: Matrix Semigroups b. Uniformly Continuous Operator Semigroups 3. a. Multiplication Semigroups on Co b. Multiplication Semigroups on Lp(fi, c. II. Semigroups, Generators, and Resolvents 1. 2. a. Standard Constructions b. Standard Examples с 3. a. Hille-Yosida Theorems b. The Lumer-Phillips Theorem с x 4. 5. 6. III. Perturbation of Semigroups 1. 2. IV. Approximation of Semigroups 1. a. A Technical Tool: Pseudoresolvents b. The Approximation Theorems с 2. V. Spectral Theory and Asymptotics for Semigroups 1. a. Spectral Theory for Closed Operators b. Spectral Theory for Generators 2. a. Examples and Counterexamples b. Spectral Mapping Theorems for Semigroups 3. a. Stability Concepts b. Characterization of Uniform Exponential Stability с 4. VI. Positive Semigroups 1. 2. 3. 4. Appendix A. A Reminder of Some Functional Analysis and Operator Theory References Selected References to Recent Research List of Symbols and Abbreviations Index
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publishDate 2006
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spellingShingle Engel, Klaus-Jochen
Nagel, Rainer 1940-
A short course on operator semigroups
Banach, Espaces de
Opérateurs linéaires
Semi-groupes d'opérateurs
Banach spaces
Linear operators
Semigroups of operators
Operatorhalbgruppe (DE-588)4172620-0 gnd
subject_GND (DE-588)4172620-0
title A short course on operator semigroups
title_auth A short course on operator semigroups
title_exact_search A short course on operator semigroups
title_exact_search_txtP ˜Aœ short course on operator semigroups
title_full A short course on operator semigroups Klaus-Jochen Engel ; Rainer Nagel
title_fullStr A short course on operator semigroups Klaus-Jochen Engel ; Rainer Nagel
title_full_unstemmed A short course on operator semigroups Klaus-Jochen Engel ; Rainer Nagel
title_short A short course on operator semigroups
title_sort a short course on operator semigroups
topic Banach, Espaces de
Opérateurs linéaires
Semi-groupes d'opérateurs
Banach spaces
Linear operators
Semigroups of operators
Operatorhalbgruppe (DE-588)4172620-0 gnd
topic_facet Banach, Espaces de
Opérateurs linéaires
Semi-groupes d'opérateurs
Banach spaces
Linear operators
Semigroups of operators
Operatorhalbgruppe
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