The similarity degree of an operator algebra, II

Mathematische Zeitschrift

Volumn 234, Issue 1, 2000, Pages 53-81

  Pisier, Gilles ^a,b  

^a TEXAS A AND M UNIVERSITY   (United States)

^b SORBONNE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034382506     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002090050503     Document Type: Article

References (28)

1. J. Bergh and J. Löfström. Interpolation spaces. An introduction. Springer Verlag, New York. 1976.
2. D. Blecher. Tensor products of operator spaces II. Can. J. math. 44 (1992) 75-90.
3. D. Blecher and V. Paulsen. Tensor products of operator spaces J. Funct. Anal. 99 (1991) 262-292.
4. D. Blecher, Z. J. Ruan and A. Sinclair. A characterization of operator algebras. J. Funct. Anal. 89 (1990) 188-201.
5. M. Bożejko. Positive-definite kernels, length functions on groups and a noncommutative von Neumann inequality. Studia Math. 95 (1989) 107-118.
6. E. Christensen and A. Sinclair. Representations of completely bounded multilinear operators. J. Funct. Anal. 72 (1987) 151-181.
7. E. Christensen and A. Sinclair. A survey of completely bounded operators. Bull. London Math. Soc. 21 (1989) 417-448.
8. E. Effros and Z.J. Ruan. A new approach to operators spaces. Canadian Math. Bull. 34 (1991) 329-337.
9. E. Effros and Z.J. Ruan. Self duality for the Haagerup tensor product and Hilbert space factorization. J. Funct. Anal. 100 (1991) 257-284.
10. E. Effros and Z.J. Ruan. Mapping spaces and liftings for operator spaces. Proc. London Math. Soc. 69 (1994) 171-197.
11. E. Effros and Z.J. Ruan. On approximation properties for operator spaces, International J. Math. 1 (1990) 163-187.
12. S. Geman. A limit theorem for the norm of random matrices. Ann. Prob. 8 (1980) 252-261.
13. U. Haagerup and S. Thorbjørnsen. Random matrices and K-theory for exact C*-algebras. Odense University preprint 1998.
14. R. Kadison On the orthogonalization of operator representations. Amer. J. Math. 77 (1955) 600-620.
15. M. Marcus and G. Pisier. Random Fourier series with Applications to Harmonic Analysis. Annals of Math. Studies no 101, Princeton University Press. (1981).
16. V. Paulsen. Completely bounded maps and dilations. Pitman Research Notes in Math. 146, Longman, Wiley, New York, 1986.
17. V. Paulsen. The maximal operator space of a normed space. Proc. Edinburgh Math. Soc. 39 (1996) 309-323.
18. V. Paulsen. Representation of Function algebras, Abstract operator spaces and Banach space Geometry. J. Funct. Anal. 109 (1992) 113-129.
19. V. Paulsen and R. Smith. Multilinear maps and tensor norms on operator systems. J. Funct. Anal. 73 (1987) 258-276.
20. V. Peller. Estimates of functions of power bounded operators on Hilbert space. J. Oper. Theory 7 (1982) 341-372.
21. V. Pestov. Operator spaces and residually finite-dimensional C*-algebras. J. Funct. Anal. 123 (1994) 308-317.
22. G. Pisier. The similarity degree of an operator algebra. St. Petersburg Math. J. 10 (1999) 103-146.
23. G. Pisier. Joint similarity problems and the generation of operator algebras with bounded length. Integr. Equ. Op. Th. 31 (1998) 353-370.
24. G. Pisier. Similarity problems and completely bounded maps. Springer Lecture notes 1618 (1995).
25. G. Pisier. The volume of Convex Bodies and Banach Space Geometry. Cambridge University Press, 1989.
26. G. Pisier. The operator Hilbert space OH, complex interpolation and tensor norms. Memoirs Amer. Math. Soc. vol. 122, 585 (1996) 1-103.
27. p-spaces and completely p-summing maps. Astérisque (Soc. Math. France) 247 (1998) 1-131.
28. G. Pisier. Are unitarizable groups amenable? preprint, 1999.