@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://archive.numdam.org/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://archive.numdam.org/item/AST_1995__232__159_0/ LA - en ID - AST_1995__232__159_0 ER -
Pisier, Gilles. Exact operator spaces, dans Recent advances in operator algebras - Orléans, 1992, Astérisque, no. 232 (1995), pp. 159-186. http://archive.numdam.org/item/AST_1995__232__159_0/
[AO] Computing norms in group -algebras. Amer. J. Math. 98 (1976), 1015-1047. | DOI | MR | Zbl
and .[B1] Tensor products of operator spaces II. 1990. Canadian J. Math. 44 (1992) 75-90. | DOI | MR | Zbl
.[B2] The standard dual of an operator space. Pacific J. Math. 153 (1992) 15-30. | DOI | MR | Zbl
.[BP] Tensor products of operator spaces. J. Funct. Anal. 99 (1991) 262-292. | DOI | MR | Zbl
and .[DCH] Multipliers of the Fourier algebras of some simple Lie groups and their discrete subgroups. Amer. J. Math. 107 (1985), 455-500. | DOI | MR | Zbl
and .[EH] Lifting problems and local reflexivity for -algebras. Duke Math. J. 52 (1985) 103-128. | DOI | MR | Zbl
and .[EKR] On two quantized tensor products. Preprint 1992. To appear. | MR | Zbl
and .[ER1] A new approach to operator spaces. Canadian Math. Bull. 34 (1991) 329-337. | DOI | MR | Zbl
and .[ER2] On the abstract characterization of operator spaces. Proc. Amer. Math. Soc. 119 (1993) 579-584. | DOI | MR | Zbl
and .[ER3] Self duality for the Haagerup tensor product and Hilbert space factorization. J. Funct. Anal. 100 (1991) 257-284. | DOI | MR | Zbl
and .[ER4] 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
and .[ER5] Mapping spaces and liftings for operator spaces. Proc. London Math. Soc. 69 (1994) 171-197. | DOI | MR | Zbl
and .[ER6] The Grothendieck-Pietsch and Dvoretzky-Rogers Theorems for operator spaces. J. Funct. Anal. 122 (1994) 428-450. | DOI | MR | Zbl
and .[ER7] On approximation properties for operator spaces, International J. Math. 1 (1990) 163-187. | DOI | MR | Zbl
and .[H] 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. | DOI | MR | Zbl
.[HP] Bounded linear operators between -algebras. Duke Math. J. 71 (1993) 889-925. | DOI | MR | Zbl
and .[Hei] Ultraproducts in Banach space theory. J. für die reine und Angew. Math. 313 (1980) 72-104. | EuDML | MR | Zbl
.[Her] Espaces , factorisation et produits tensoriels dans les espaces de Banach. Comptes Rendus Acad. Sci. Paris Série A. 296 (1983) 385-388. | MR | Zbl
.[J] Oral communication.
.[JP] Bilinear forms on exact operator spaces and . Geometric and Functional Analysis (GAFA), to appear. | MR | Zbl
and .[Ki] On subalgebras of the CAR-algebra. J. Funct. Anal. (To appear) | MR | Zbl
.[Kr] The slice map problem and approximation properties. J. Funct. Anal. 102 (1991) 116-155. | DOI | MR | Zbl
.[LR] The spaces. Israel J. Math. 7 (1969) 325-349. | MR | Zbl
and .[Pa1] Completely bounded maps and dilations. Pitman Research Notes 146. Pitman Longman (Wiley) 1986. | MR | Zbl
.[Pa2] Representation of Function algebras, Abstract operator spaces and Banach space Geometry. J. Funct. Anal. 109 (1992) 113-129. | DOI | MR | Zbl
.[P1] The operator Hilbert space , complex interpolation and tensor norms. To appear. | MR | Zbl
.[P2] Non-commutative vector valued -spaces and completely -summing maps. To appear.
.[Ru] Subspaces of -algebras. J. Funct. Anal. 76 (1988) 217-230. | DOI | MR | Zbl
.[Sm] Completely bounded maps between -algebras. J. London Math. Soc. 27 (1983) 157-166. | DOI | MR | Zbl
.[Sz] does not have the approximation property. Acta Math. 147 (1981) 89-108. | DOI | MR | Zbl
.[Ta] Theory of Operator Algebras I. Springer-Verlag New-York 1979. | DOI | MR | Zbl
.[W1] On tensor products of certain group -algebras. J. Funct. Anal. 23 (1976) 239-254. | DOI | MR | Zbl
.[W2] The slice map problem for -algebras. Proc. London Math. Soc. 32 (1976) 537-559. | DOI | MR | Zbl
.