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Short History
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What are operator spaces?
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What are operator spaces?
 
Index
Contents
Contents
Short History
Operator Spaces and Completely Bounded Maps
Basic facts
Ruan's theorem
Elementary constructions
The space
The dual
Direct sums
and
Injective operator spaces
Operator Systems and Completely Positive Maps
Definitions
Characterization
Matrix order unit norm
Injective operator systems
Hilbertian Operator Spaces
The spaces
The morphisms
The column Hilbert space
Column Hilbert space factorization
Multiplicative Structures
Operator modules
Completely bounded module homomorphisms
Operator algebras
Tensor Products
Operator space tensor products
Injective operator space tensor product
Projective operator space tensor product
The Haagerup tensor product
Completely bounded bilinear mappings
Module tensor products
Complete Local Reflexivity
Completely Bounded Multilinear Mappings
Automatic Complete Boundedness
Convexity
Matrix convexity
Matrix extreme points
-convexity
-extreme points
Mapping Spaces
Completely nuclear mappings
Completely integral mappings
Appendix
Tensor products
Interpolation
Symbols
Sets
Banach spaces
Algebras
Ideals
Mapping spaces
Operator spaces
Special operator spaces
Norms
Matrices
Tensor products
Tensor norms
Operator modules
Mappings
Isomorphisms
Miscellanea
Bibliography
Index
About this document ...
Prof. Gerd Wittstock 2001-01-07