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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页码：51 / 53

页数：3

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