Geodesic
A Note on the Exactness of Operator Spaces
Canadian mathematical bulletin, Tome 53 (2010) no. 2, pp. 239-246

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper, we give two characterizations of the exactness of operator spaces.
DOI : 10.4153/CMB-2010-013-4
Mots-clés : 46L07, operator space, exactness 
Dong, Z. A Note on the Exactness of Operator Spaces. Canadian mathematical bulletin, Tome 53 (2010) no. 2, pp. 239-246. doi: 10.4153/CMB-2010-013-4
@article{10_4153_CMB_2010_013_4,
     author = {Dong, Z.},
     title = {A {Note} on the {Exactness} of {Operator} {Spaces}},
     journal = {Canadian mathematical bulletin},
     pages = {239--246},
     year = {2010},
     volume = {53},
     number = {2},
     doi = {10.4153/CMB-2010-013-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-013-4/}
}
TY  - JOUR
AU  - Dong, Z.
TI  - A Note on the Exactness of Operator Spaces
JO  - Canadian mathematical bulletin
PY  - 2010
SP  - 239
EP  - 246
VL  - 53
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-013-4/
DO  - 10.4153/CMB-2010-013-4
ID  - 10_4153_CMB_2010_013_4
ER  - 
%0 Journal Article
%A Dong, Z.
%T A Note on the Exactness of Operator Spaces
%J Canadian mathematical bulletin
%D 2010
%P 239-246
%V 53
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-013-4/
%R 10.4153/CMB-2010-013-4
%F 10_4153_CMB_2010_013_4

[1] [1] Blecher, D., Tensor products of operator spaces. II. Canad. J. Math. 44(1992), 75–90. Google Scholar

[2] [2] Blecher, D. and Paulsen, V., Tensor products of operator spaces. J. Funct. Anal. 99(1991), no. 2, 262–292. doi:10.1016/0022-1236(91)90042-4 Google Scholar

[3] [3] Effros, E. G. and Ruan, Z.-J., On non-selfadjoint operator algebras. Proc. Amer. Math. Soc. 110(1990), no. 4, 915–922. doi:10.2307/2047737 Google Scholar

[4] [4] Effros, E. G. and Ruan, Z.-J., Mapping spaces and liftings for operator spaces. Proc. London Math. Soc. 69(1994), no. 1, 171–197. doi:10.1112/plms/s3-69.1.171 Google Scholar

[5] [5] Effros, E. G. and Ruan, Z.-J., Operator Spaces. London Mathematical Society Monographs 23. The Clarendon Press, Oxford University Press, New York, 2000. Google Scholar

[6] [6] Effros, E. G., Junge, M., and Ruan, Z.-J., Integral mapping and the principle of local reflexivity for non-commutative L1 spaces. Ann. of Math. 151(2000), no. 1, 59–92. doi:10.2307/121112 Google Scholar

[7] [7] Effros, E. G., Ozawa, N. and Ruan, Z.-J., On injectivity and nuclearity for operator spaces. Duke Math. J. 110(2001), no. 3, 489–521. doi:10.1215/S0012-7094-01-11032-6 Google Scholar

[8] [8] Kadison, R. V. and Ringrose, J. R., Fundamentals of the Theory of Operator Algebras. I. Elementary Theory. Graduate Studies in Mathematics 15. American Mathematical Society, Providence, RI, 1997. Google Scholar

[9] [9] Kirchberg, E., The Fubini theorem for exact C*-algebras. J. Operator Theory 10(1983), no. 1, 3–8. Google Scholar

[10] [10] Paulsen, V., Completely Bounded Maps and Operator Algebras. Cambridge Studies in Advanced Mathematics 78. Cambridge University Press, Cambridge, 2002. Google Scholar

[11] [11] Pisier, G., Exact operator spaces. Recent advances in operator algebras. Astérisque 232(1995), 159–186. Google Scholar

[12] [12] Pisier, G., Introduction to Operator Space Theory. London Mathematical Society Lecture Notes Series 294. Cambridge University Press, Cambridge, 2003. Google Scholar

[13] [13] Ruan, Z.-J., Subspaces of C*-algebras. J. Funct. Anal. 76(1988), no. 1, 217–230. Google Scholar

Cité par Sources :