Elementary operators - still not elementary?

Opuscula Mathematica

Martin Mathieu¹ 

[1] Queen's University Belfast, Pure Mathematics Research Centre, Belfast BT7 1NN, Northern Ireland;

关键词: spectral isometries;    elementary operators;    Jordan isomorphisms;   

DOI  :  http://dx.doi.org/10.7494/OpMath.2016.36.6.787

来源: DOAJ

【 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.

【 授权许可】

Unknown