The Drazin spectrum of tensor product of Banach algebra elements and elementary operators

被引：1

作者：

Boasso, Enrico

机构：

[1] 34137 Trieste - TS

来源：

LINEAR & MULTILINEAR ALGEBRA | 2013年 / 61卷 / 03期

关键词：

Drazin spectrum; Banach algebra; tensor product; Banach space; elementary operator; MULTIPLICATION OPERATORS; WEYLS THEOREM; LINEAR-OPERATORS; AXIOMATIC THEORY; INVERSES;

D O I：

10.1080/03081087.2012.675333

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given unital Banach algebras A and B and elements a???A and b???B, the Drazin spectrum of will be fully characterized, where is a Banach algebra that is the completion of A ? B with respect to a uniform crossnorm. To this end, however, first the isolated points of the spectrum of need to be characterized. On the other hand, given Banach spaces X and Y and Banach space operators S???L(X) and T???L(Y), using similar arguments the Drazin spectrum of t ST ???L(L(Y, X)), the elementary operator defined by S and T, will be fully characterized.

引用

页码：295 / 307

页数：13