Generalized Kato type operators and property (ω) under perturbations

被引：6
|
作者：
Cao, Xiaohong [1 ]
Liu, Aifang [1 ]
机构：
[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2012年 / 436卷 / 07期
关键词：
Generalized Kato type; Property (omega); Spectrum; WEYLS THEOREM;
D O I：
10.1016/j.laa.2011.10.027
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note we give the definition of generalized Kato type and establish for a bounded linear operator defined on a Hilbert space the sufficient and necessary conditions for which property (omega) holds by means of the induced spectrum of generalized Kato property. In addition, the stability of property (omega) is discussed. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：2231 / 2239
页数：9
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