内容

目次

Part I. Introduction to Operator Spaces: 1. Completely bounded maps; 2.Minimal tensor product; 3. Minimal and maximal operator space structures on aBanach space; 4. Projective tensor product; 5. The Haagerup tensor product;6. Characterizations of operator algebras; 7. The operator Hilbert space; 8.Group C*-algebras; 9. Examples and comments; 10. Comparisons; Part II.Operator Spaces and C*-tensor products: 11. C*-norms on tensor products; 12.Nuclearity and approximation properties; 13. C*; 14. Kirchberg's theorem ondecomposable maps; 15. The weak expectation property; 16. The local liftingproperty; 17. Exactness; 18. Local reflexivity; 19. Grothendieck's theoremfor operator spaces; 20. Estimating the norms of sums of unitaries; 21. Localtheory of operator spaces; 22. B(H) * B(H); 23. Completely isomorphicC*-algebras; 24. Injective and projective operator spaces; Part III. OperatorSpaces and Non Self-Adjoint Operator Algebras: 25. Maximal tensor productsand free products of non self-adjoint operator algebras; 26. TheBlechter-Paulsen factorization; 27. Similarity problems; 28. TheSz-nagy-halmos similarity problem; Solutions to the exercises; References.