Fundamentals of the Theory of Operator Algebras. V1
Elementary Theory
Academic Press
Published on 29. June 1983
397 pages
978-0-08-087416-6 (ISBN)
Description
Fundamentals of the Theory of Operator Algebras. V1
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Richard V. Kadison | John R. Ringrose
Fundamentals of the Theory of Operator Algebras: Elementary Theory v.1
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01/1992
Academic Press
€45.88
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Content
- Front Cover
- Fundamentals of the Theory of Operator Algebras
- Copyright Page
- Contents
- Preface
- Contents of Volume II
- Chapter 1. Linear Spaces
- 1.1. Algebraic results
- 1.2. Linear topological spaces
- 1.3. Weak topologies
- 1.4. Extreme points
- 1.5. Normed spaces
- 1.6. Linear functionals on normed spaces
- 1.7. Some examples of Banach spaces
- 1.8. Linear operators acting on Banach spaces
- 1.9. Exercises
- Chapter 2. Basics of Hilbert Space and Linear Operators
- 2.1. Inner products on linear spaces
- 2.2. Orthogonality
- 2.3. The weak topology
- 2.4. Linear operators
- 2.5. The lattice of projections
- 2.6. Constructions with Hilbert spaces
- 2.7. Unbounded linear operators
- 2.8. Exercises
- Chapter 3. Banach Algebras
- 3.1. Basics
- 3.2. The spectrum
- 3.3. The holomorphic function calculus
- 3.4. The Banach algebra C(X)
- 3.5. Exercises
- Chapter 4. Elementary C*-Algebra Theory
- 4.1. Basics
- 4.2. Order structure
- 4.3. Positive linear functionals
- 4.4. Abelian algebras
- 4.5. States and representations
- 4.6. Exercises
- Chapter 5. Elementary von Neumann Algebra Theory
- 5.1. The weak- and strong-operator topologies
- 5.2. Spectral theory for bounded operators
- 5.3. Two fundamental approximation theorems
- 5.4. Irreducible algebras-an application
- 5.5. Projection techniques and constructs
- 5.6. Unbounded operators and abelian von Neumann algebras
- 5.7. Exercises
- Bibliography
- Index of Notation
- Index
- Pure and Applied Mathematics
