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
收藏
页码：175 / 179
页数：5
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