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Charting the operator terrain /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
[1976]
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 171. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.