UID:
almahu_9949697310402882
Format:
1 online resource (417 p.)
ISBN:
1-281-76648-8
,
9786611766481
,
0-08-087416-9
Series Statement:
Pure and applied mathematics (Academic Press) ; 100
Content:
Fundamentals of the theory of operator algebras. V1
Note:
Description based upon print version of record.
,
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 projections2.6. 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 theorems5.4. 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
,
English
Additional Edition:
ISBN 0-12-393301-3
Language:
English
