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UNINA9910788607803321 |
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Autore |
Ernest John <1935-> |
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Titolo |
Charting the operator terrain / / John Ernest |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [1976] |
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©1976 |
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ISBN |
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Descrizione fisica |
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1 online resource (216 p.) |
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Collana |
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Memoirs of the American Mathematical Society ; ; volume 6, number 171 (July 1976) |
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Disciplina |
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Soggetti |
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Linear operators |
Spectral theory (Mathematics) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 6 ... (first of 3 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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""TABLE OF CONTENTS""; ""INTRODUCTION""; ""CHAPTER 1 EQUIVALENCE RELATIONS AND CLASSIFICATION THEORY""; ""1. Quasi-equivalence""; ""2. Von Neumann classification of operators, in operator theoretic terms""; ""3. The bridge between operators and operator algebras""; ""4. Multiplicity theory for factor operators""; ""5. Weak containment and weak equivalence for operators""; ""6. Smooth operators""; ""7. The envelope of an operator""; ""CHAPTER 2 THE SPECTRUM AND QUASI-SPECTRUM OF AN OPERATOR""; ""1. The * - strong operator topology and its associated Borel structure"" |
""2. The concrete dual of an operator""""3. The spectrum and quasi-spectrum of an operator""; ""4. Some spectral theory""; ""5. The topology on the spectrum""; ""CHAPTER 3 DECOMPOSITION THEORY""; ""1. The central decomposition""; ""2. The central measure lattice""; ""3. Multiplicity and the central decomposition""; ""CHAPTER 4 SPECTRAL MULTIPLICITY THEORY AND THE UNITARY EQUIVALENCE PROBLEM FOR OPERATORS""; ""CHAPTER 5 APPLICATIONS, EXAMPLES AND OPEN QUESTIONS""; ""1. Smooth operators""; ""2. Normal operators and spectral measures""; ""3. Binormal operators""; ""4. Trinormal operators"" |
""5. Quasinormal operators""""6. Direct sum decompositions""; ""7. Some research proposals""; ""REFERENCES""; ""NOTATION INDEX""; ""INDEX""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""J""; ""K""; |
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