Exact operator spaces

Pisier, Gilles

Recent advances in operator algebras - Orléans, 1992, Astérisque, no. 232 (1995), pp. 159-186

Voir la notice du chapitre de livre provenant de la source Numdam

MR Zbl

@incollection{AST_1995__232__159_0,
     author = {Pisier, Gilles},
     title = {Exact operator spaces},
     booktitle = {Recent advances in operator algebras - Orl\'eans, 1992},
     series = {Ast\'erisque},
     pages = {159--186},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {232},
     year = {1995},
     mrnumber = {1372532},
     zbl = {0844.46031},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AST_1995__232__159_0/}
}

TY  - CHAP
AU  - Pisier, Gilles
TI  - Exact operator spaces
BT  - Recent advances in operator algebras - Orléans, 1992
AU  - Collectif
T3  - Astérisque
PY  - 1995
SP  - 159
EP  - 186
IS  - 232
PB  - Société mathématique de France
UR  - http://geodesic.mathdoc.fr/item/AST_1995__232__159_0/
LA  - en
ID  - AST_1995__232__159_0
ER  -

%0 Book Section
%A Pisier, Gilles
%T Exact operator spaces
%B Recent advances in operator algebras - Orléans, 1992
%A Collectif
%S Astérisque
%D 1995
%P 159-186
%N 232
%I Société mathématique de France
%U http://geodesic.mathdoc.fr/item/AST_1995__232__159_0/
%G en
%F AST_1995__232__159_0

Pisier, Gilles. Exact operator spaces, dans Recent advances in operator algebras - Orléans, 1992, Astérisque, no. 232 (1995), pp. 159-186. http://geodesic.mathdoc.fr/item/AST_1995__232__159_0/

Bibliographie
Cité par

[AO] C. Akemann and P. Ostrand. Computing norms in group $C^{*}$ -algebras. Amer. J. Math. 98 (1976), 1015-1047. | MR | Zbl | DOI

[B1] D. Blecher. Tensor products of operator spaces II. 1990. Canadian J. Math. 44 (1992) 75-90. | MR | Zbl | DOI

[B2] D. Blecher. The standard dual of an operator space. Pacific J. Math. 153 (1992) 15-30. | MR | Zbl | DOI

[BP] D. Blecher and V. Paulsen. Tensor products of operator spaces. J. Funct. Anal. 99 (1991) 262-292. | MR | Zbl | DOI

[DCH] J. De Cannière and U. Haagerup. Multipliers of the Fourier algebras of some simple Lie groups and their discrete subgroups. Amer. J. Math. 107 (1985), 455-500. | MR | Zbl | DOI

[EH] E. Effros and U. Haagerup. Lifting problems and local reflexivity for $C^{*}$ -algebras. Duke Math. J. 52 (1985) 103-128. | MR | Zbl | DOI

[EKR] E. Effros J. Kraus and Z. J. Ruan. On two quantized tensor products. Preprint 1992. To appear. | MR | Zbl

[ER1] E. Effros and Z. J. Ruan. A new approach to operator spaces. Canadian Math. Bull. 34 (1991) 329-337. | MR | Zbl | DOI

[ER2] E. Effros and Z. J. Ruan. On the abstract characterization of operator spaces. Proc. Amer. Math. Soc. 119 (1993) 579-584. | MR | Zbl | DOI

[ER3] E. Effros and Z. J. Ruan. Self duality for the Haagerup tensor product and Hilbert space factorization. J. Funct. Anal. 100 (1991) 257-284. | MR | Zbl | DOI

[ER4] E. Effros and Z. J. Ruan. Recent development in operator spaces. Current topics in Operator algebras (edited by Araki, Choda, Nakagami, Saitô and Tomiyama). World Scientific, Singapore, 1991 p. 146-164. | MR | Zbl

[ER5] E. Effros and Z. J. Ruan. Mapping spaces and liftings for operator spaces. Proc. London Math. Soc. 69 (1994) 171-197. | MR | Zbl | DOI

[ER6] E. Effros and Z. J. Ruan. The Grothendieck-Pietsch and Dvoretzky-Rogers Theorems for operator spaces. J. Funct. Anal. 122 (1994) 428-450. | MR | Zbl | DOI

[ER7] E. Effros and Z. J. Ruan. On approximation properties for operator spaces, International J. Math. 1 (1990) 163-187. | MR | Zbl | DOI

[H] U. Haagerup. Injectivity and decomposition of completely bounded maps in "Operator algebras and their connection with Topology and Ergodic Theory". Springer Lecture Notes in Math. 1132 (1985) 170-222. | MR | Zbl | DOI

[HP] U. Haagerup and G. Pisier. Bounded linear operators between $C^{*}$ -algebras. Duke Math. J. 71 (1993) 889-925. | MR | Zbl | DOI

[Hei] S. Heinrich. Ultraproducts in Banach space theory. J. für die reine und Angew. Math. 313 (1980) 72-104. | MR | Zbl | EuDML

[Her] R. Hernandez. Espaces $L^{p}$ , factorisation et produits tensoriels dans les espaces de Banach. Comptes Rendus Acad. Sci. Paris Série A. 296 (1983) 385-388. | MR | Zbl

[J] M. Junge. Oral communication.

[JP] M. Junge and G. Pisier. Bilinear forms on exact operator spaces and $B (H) \otimes B (H)$ . Geometric and Functional Analysis (GAFA), to appear. | MR | Zbl

[Ki] E. Kirchberg. On subalgebras of the CAR-algebra. J. Funct. Anal. (To appear) | MR | Zbl

[Kr] J. Kraus. The slice map problem and approximation properties. J. Funct. Anal. 102 (1991) 116-155. | MR | Zbl | DOI

[LR] J. Lindenstrauss and H. Rosenthal. The $ℒ_{p}$ spaces. Israel J. Math. 7 (1969) 325-349. | MR | Zbl

[Pa1] V. Paulsen. Completely bounded maps and dilations. Pitman Research Notes 146. Pitman Longman (Wiley) 1986. | MR | Zbl

[Pa2] V. Paulsen. Representation of Function algebras, Abstract operator spaces and Banach space Geometry. J. Funct. Anal. 109 (1992) 113-129. | MR | Zbl | DOI

[P1] G. Pisier. The operator Hilbert space $O H$ , complex interpolation and tensor norms. To appear. | MR | Zbl

[P2] G. Pisier. Non-commutative vector valued $L_{p}$ -spaces and completely $p$ -summing maps. To appear.

[Ru] Z. J. Ruan. Subspaces of $C^{*}$ -algebras. J. Funct. Anal. 76 (1988) 217-230. | MR | Zbl | DOI

[Sm] R. R. Smith. Completely bounded maps between $C^{*}$ -algebras. J. London Math. Soc. 27 (1983) 157-166. | MR | Zbl | DOI

[Sz] A. Szankowski. $B (H)$ does not have the approximation property. Acta Math. 147 (1981) 89-108. | MR | Zbl | DOI

[Ta] M. Takesaki. Theory of Operator Algebras I. Springer-Verlag New-York 1979. | MR | Zbl | DOI

[W1] S. Wasserman. On tensor products of certain group $C^{*}$ -algebras. J. Funct. Anal. 23 (1976) 239-254. | MR | Zbl | DOI

[W2] S. Wasserman. The slice map problem for $C^{*}$ -algebras. Proc. London Math. Soc. 32 (1976) 537-559. | MR | Zbl | DOI

Parcourir par

Geodesic

Parcourir par