ELEMENTARY OPERATORS-STILL NOT ELEMENTARY?

被引：2
|
作者：
Mathieu, Martin [1 ]
机构：
[1] Queens Univ Belfast, Pure Math Res Ctr, Belfast BT7 1NN, Antrim, North Ireland
来源：
OPUSCULA MATHEMATICA | 2016年 / 36卷 / 06期
关键词：
spectral isometries; elementary operators; Jordan isomorphisms;
D O I：
10.7494/OpMath.2016.36.6.787
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Properties of elementary operators, that is, finite sums of two-sided multiplications on a Banach algebra, have been studied under a vast variety of aspects by numerous authors. In this paper we review recent advances in a new direction that seems not to have been explored before: the question when an elementary operator is spectrally bounded or spectrally isometric. As with other investigations, a number of subtleties occur which show that elementary operators are still not elementary to handle.
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页码：787 / 797
页数：11
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