TENSOR-PRODUCTS OF OPERATOR-SPACES .2.

被引：50

作者：

BLECHER, DP ^{[1
]}

机构：

[1] UNIV HOUSTON,DEPT MATH,HOUSTON,TX 77204

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 1992年 / 44卷 / 01期

关键词：

D O I：

10.4153/CJM-1992-004-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Together with Vern Paulsen we were able to show that the elementary theory of tensor norms of Banach spaces carries over to operator spaces. We suggested that the Grothendieck tensor norm program, which was of course enormously important in the development of Banach space theory, be carried out for operator spaces. Some of this has been done by the authors mentioned above, and by Effros and Ruan. We give alternative developments of some of this work, and otherwise continue the tensor norm program.

引用

页码：75 / 90

页数：16

共 32 条

[1]

ARVESON WB, 1969, ACTA MATH, V123, P142

[2] TENSOR-PRODUCTS WHICH DO NOT PRESERVE OPERATOR-ALGEBRAS [J].