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Charting the operator terrain / / John Ernest



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Autore: Ernest John <1935-> Visualizza persona
Titolo: Charting the operator terrain / / John Ernest Visualizza cluster
Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [1976]
©1976
Descrizione fisica: 1 online resource (216 p.)
Disciplina: 515/.72
Soggetto topico: Linear operators
Spectral theory (Mathematics)
Note generali: "Volume 6 ... (first of 3 numbers)."
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: ""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""; ""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W""
Titolo autorizzato: Charting the operator terrain  Visualizza cluster
ISBN: 1-4704-0755-8
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910828120803321
Lo trovi qui: Univ. Federico II
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Serie: Memoirs of the American Mathematical Society ; ; number 171.