On Taylor and other joint spectra for commuting n-tuples of operators

被引：9

作者：

Benhida, C.

Zerouali, E. H.

机构：

[1] Univ Lille 1, UFR Math, CNRS, UMR 8524, F-59655 Villeneuve Dascq, France

[2] Fac Sci Rabat, Rabat, Morocco

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 326卷 / 01期

关键词：

n-tuples; Taylor spectrum; joint spectra; Aluthge transforms;

D O I：

10.1016/j.jmaa.2006.03.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let R and S be commuting n-tuples of operators. We will give some spectral relations between RS and SR that extend the case of single operators. We connect the Taylor spectrum, the Fredholm spectrum and some other joint spectra of RS and SR. Applications to Aluthge transforms of commuting n-tuples are also provided. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：521 / 532

页数：12

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