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New Approaches in Spectral Decomposition.

By: Contributor(s): Material type: TextTextSeries: Contemporary MathematicsPublisher: Providence : American Mathematical Society, 1992Copyright date: ©1992Edition: 1st edDescription: 1 online resource (288 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780821877166
Subject(s): Genre/Form: Additional physical formats: Print version:: New Approaches in Spectral DecompositionDDC classification:
  • 515/.724
LOC classification:
  • QA329 -- .L36 1992eb
Online resources:
Contents:
Intro -- Table of Contents -- Preface -- Chapter I: Foundations -- 1. Basic concepts -- 2. Decomposable operators -- 3. Further criteria -- 4. Special classes and examples -- Chapter II: Perturbation Theory -- 1. Introduction -- 2. General Banach spaces -- 3. Hilbert spaces -- 4. Quasisimilarity -- Chapter III: Weakly Decomposable Operators and Automatic Continuity -- 1. Introduction -- 2. Weakly decomposable operators -- 3. Multiplication operators -- 4. Hyperinvariant chains -- 5. Automatic continuity -- 6. Applications -- 7. Other considerations -- Chapter IV: Invariant Subspaces for Subdecomposable Operators -- 1. Introduction -- 2. Dirichlet algebras -- 3. Invariant subspaces for subdecomposable operators -- 4. Hyponormal operators -- 5. Invariant subspaces for hyponormal operators -- Chapter V: Multivariate Theory -- 1. Preliminaries -- 2. Spectral decomposition for commuting systems -- 3. Duality theory for commuting systems -- 4. Perturbation theory -- Notes and Comments -- Bibliography -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- J -- L -- M -- N -- P -- Q -- R -- S -- U -- W.
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Intro -- Table of Contents -- Preface -- Chapter I: Foundations -- 1. Basic concepts -- 2. Decomposable operators -- 3. Further criteria -- 4. Special classes and examples -- Chapter II: Perturbation Theory -- 1. Introduction -- 2. General Banach spaces -- 3. Hilbert spaces -- 4. Quasisimilarity -- Chapter III: Weakly Decomposable Operators and Automatic Continuity -- 1. Introduction -- 2. Weakly decomposable operators -- 3. Multiplication operators -- 4. Hyperinvariant chains -- 5. Automatic continuity -- 6. Applications -- 7. Other considerations -- Chapter IV: Invariant Subspaces for Subdecomposable Operators -- 1. Introduction -- 2. Dirichlet algebras -- 3. Invariant subspaces for subdecomposable operators -- 4. Hyponormal operators -- 5. Invariant subspaces for hyponormal operators -- Chapter V: Multivariate Theory -- 1. Preliminaries -- 2. Spectral decomposition for commuting systems -- 3. Duality theory for commuting systems -- 4. Perturbation theory -- Notes and Comments -- Bibliography -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- J -- L -- M -- N -- P -- Q -- R -- S -- U -- W.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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