Commutators with finite spectrum

被引：12
作者：
Boudi, N
Mathieu, M
机构：
[1] Univ Moulay Ismail, Fac Sci, Dept Math, Beni Mhamed, Meknes, Morocco
[2] Queens Univ Belfast, Dept Pure Math, Belfast BT7 1NN, Antrim, North Ireland
来源：
ILLINOIS JOURNAL OF MATHEMATICS | 2004年 / 48卷 / 02期
关键词：
D O I：
10.1215/ijm/1258138407
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The properties of a bounded derivation d on a complex Banach algebra A such that the spectrum sigma([x, dx]) is finite for all x is an element of A are studied. In particular we show that, if sigma([x, dx]) is a singleton for each x, then d maps into the radical of A.
引用
收藏
页码：687 / 699
页数：13
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