ELEMENTARY OPERATORS-STILL NOT ELEMENTARY?

被引：1

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.

引用

页码：787 / 797

页数：11

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