A C*-Algebra on Schur Algebras

被引：0

作者：

Chaisuriya, Pachara ^{[1
]}

机构：

[1] Mahidol Univ, Fac Sci, Dept Math, Bangkok 10400, Thailand

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2011年 / 34卷 / 01期

关键词：

C*-algebra; Schur product; MATRICES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we show the relation between the Schur algebras S(Lambda,Sigma)(r)(B) and S(r)'(Lambda,Sigma)(B), where 1 <= r' < T < infinity. Then we set up the involution operator in these Schur algebras and show that with this involution operator there is only one C*-algebra among these classes of Banach algebras. Furthermore, we show the equivalence of a condition on the Schur multiplier norm and the existence of C*-algebra.

引用

页码：189 / 200

页数：12

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