Essentially defined derivations on semisimple Banach algebras

被引：5

作者：

Villena, AR

机构：

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 1997年 / 40卷

关键词：

D O I：

10.1017/S0013091500023531

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that every partially defined derivation on a semisimple complex Banach algebra whose domain is a (non necessarily closed) essential ideal is closable. In particular, we show that every derivation defined on any nonzero ideal of a prime C*-algebra is continuous.

引用

页码：175 / 179

页数：5

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