Compactness conditions for elementary operators

被引：10
作者：
Bresar, Matei
Turovskii, Yuri V.
机构：
[1] Univ Maribor, Dept Math, SLO-2000 Maribor, Slovenia
[2] Natl Acad Sci Azerbaijan, Inst Math & Mech, AZ-1141 Baku, Azerbaijan
来源：
STUDIA MATHEMATICA | 2007年 / 178卷 / 01期
关键词：
elementary operator; completely finite rank element; completely continuous element; compact element; generalized derivation; operator near-ideal;
D O I：
10.4064/sm178-1-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Various topics concerning compact elementary operators on Banach algebras are studied: their ranges, their coefficients, and the structure of algebras having nontrivial compact elementary operators. In the first part of the paper we consider separately elementary operators of certain simple types. In the second part we obtain our main results which deal with general elementary operators.
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页码：1 / 18
页数：18
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