A REMARK ON CONTRACTIBLE BANACH ALGEBRAS

被引：0
|
作者：
Ozawa, Narutaka [1 ]
机构：
[1] Kyoto Univ, Rims, Kyoto 6068502, Japan
来源：
KYUSHU JOURNAL OF MATHEMATICS | 2013年 / 67卷 / 01期
关键词：
contractible Banach algebra; super-amenable Banach algebra;
D O I：
10.2206/kyushujm.67.51
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is a longstanding problem whether every contractible Banach. algebra is necessarily finite-dimensional. In this note, We confirm this for Banach algebras acting on Banach spaces with the uniform approximation property. This generalizes a result of Paulsen and Smith who proved the same for Banach algebras acting on Hilbert spaces.
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收藏
页码：51 / 53
页数：3
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