TY - BOOK AU - Lange,Ridgley AU - Wang,Shengwang AU - Shengwang,Wang TI - New Approaches in Spectral Decomposition T2 - Contemporary Mathematics SN - 9780821877166 AV - QA329 -- .L36 1992eb U1 - 515/.724 PY - 1992/// CY - Providence PB - American Mathematical Society KW - Operator theory KW - Spectral theory (Mathematics) KW - Decomposition (Mathematics) KW - Electronic books N1 - 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 UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3112992 ER -