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SMALL ESSENTIAL SPECTRAL RADIUS PERTURBATIONS OF OPERATORS WITH TOPOLOGICAL UNIFORM DESCENT

Part of: General theory of linear operators

Published online by Cambridge University Press:  30 August 2011

QINGPING ZENG ,
HUAIJIE ZHONG  and
ZHENYING WU
QINGPING ZENG*
Affiliation:
School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, PR China (email: zqpping2003@163.com)
HUAIJIE ZHONG
Affiliation:
School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, PR China
ZHENYING WU
Affiliation:
Fuzhou Strait Vocation Technological College, Fuzhou 350014, PR China
*
✉For correspondence; e-mail: zqpping2003@163.com
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Abstract

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In this paper we consider small essential spectral radius perturbations of operators with topological uniform descent—small essential spectral radius perturbations which cover compact, quasinilpotent and Riesz perturbations.

Keywords

Banach spacesoperator rangestopological uniform descentessential spectral radiusperturbation

MSC classification

Secondary: 47A53: (Semi-) Fredholm operators; index theories
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 85 , Issue 1 , February 2012 , pp. 26 - 45
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

Footnotes

This work has been supported by the Specialized Research Fund for the Doctoral Program of Higher Education (2010350311001) and the Natural Science Foundation of Fujian Province (NO. 2009J01005).

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