Book contents
- Frontmatter
- Contents
- 0 Introduction
- Part I INTRODUCTION TO OPERATOR SPACES
- Part II OPERATOR SPACES AND C*-TENSOR PRODUCTS
- 11 C*-norms on tensor products. Decomposable maps. Nuclearity
- 12 Nuclearity and approximation properties
- 13 C*(F∞) ⊗ B(H)
- 14 Kirchberg's theorem on decomposable maps
- 15 The Weak Expectation Property (WEP)
- 16 The Local Lifting Property (LLP)
- 17 Exactness
- 18 Local reflexivity
- 19 Grothendieck's theorem for operator spaces
- 20 Estimating the norms of sums of unitaries: Ramanujan graphs, property T, random matrices
- 21 Local theory of operator spaces. Nonseparability of OSn
- 22 B(H) ⊗ B(H)
- 23 Completely isomorphic C*-algebras
- 24 Injective and projective operator spaces
- Part III OPERATOR SPACES AND NON-SELF-ADJOINT OPERATOR ALGEBRAS
- Solutions to the exercises
- References
- Subject index
- Notation index
14 - Kirchberg's theorem on decomposable maps
Published online by Cambridge University Press: 05 October 2013
- Frontmatter
- Contents
- 0 Introduction
- Part I INTRODUCTION TO OPERATOR SPACES
- Part II OPERATOR SPACES AND C*-TENSOR PRODUCTS
- 11 C*-norms on tensor products. Decomposable maps. Nuclearity
- 12 Nuclearity and approximation properties
- 13 C*(F∞) ⊗ B(H)
- 14 Kirchberg's theorem on decomposable maps
- 15 The Weak Expectation Property (WEP)
- 16 The Local Lifting Property (LLP)
- 17 Exactness
- 18 Local reflexivity
- 19 Grothendieck's theorem for operator spaces
- 20 Estimating the norms of sums of unitaries: Ramanujan graphs, property T, random matrices
- 21 Local theory of operator spaces. Nonseparability of OSn
- 22 B(H) ⊗ B(H)
- 23 Completely isomorphic C*-algebras
- 24 Injective and projective operator spaces
- Part III OPERATOR SPACES AND NON-SELF-ADJOINT OPERATOR ALGEBRAS
- Solutions to the exercises
- References
- Subject index
- Notation index
Summary
- Type
- Chapter
- Information
- Introduction to Operator Space Theory , pp. 261 - 266Publisher: Cambridge University PressPrint publication year: 2003