Are operator algebras Banach algebras?

被引：0
|
作者：
Blecher, DP [1 ]
机构：
[1] Univ Houston, Dept Math, Houston, TX 77204 USA
来源：
BANACH ALGEBRAS AND THEIR APPLICATIONS | 2004年 / 363卷
关键词：
operator algebras; operator spaces; Banach algebras; dual algebras;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We discuss some aspects of the current state of the study of algebras of operators on a Hilbert space, from the Banach algebraic perspective. The advent of operator space theory has given a recent impetus to the general theory of such operator algebras. To illustrate the situation, we focus on some recent results mainly obtained by the author and Le Merdy, and present several 'test questions', which point out the interactions between the Banach algebraic and the operator space structures involved.
引用
收藏
页码：53 / 58
页数：6
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