Compact perturbations of both SVEP and Weyl's theorem for 3 x 3 upper triangular operator matrices

被引：1

作者：

Dong, Jiong ^{[1
]}

Cao, Xiaohong ^{[1
]}

机构：

[1] Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710119, Peoples R China

来源：

LINEAR & MULTILINEAR ALGEBRA | 2020年 / 68卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Weyl's theorem; SVEP; spectrum; operator matrix;

D O I：

10.1080/03081087.2019.1567676

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the stability of Weyl's theorem and the stability of SVEP for3x3upper triangular operator matrices, respectively. Also, we characterize the equivalent conditions when the stabilities of both Weyl's theorem and SVEP for3x3upper triangular operator matrices hold at the same time.

引用

页码：2020 / 2033

页数：14

共 31 条

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Cui, Miaomiao
Cao, Xiaohong
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Slavisa V. Djordjević
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Duggal, Bhagwati Prashad
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Acta Mathematica Vietnamica, 2019, 44 : 993 - 1004
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Rashid, Mohammad H. M.
ACTA MATHEMATICA VIETNAMICA, 2019, 44 (04) : 993 - 1004
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FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2017, 51 (02) : 135 - 143
[10] Weyl's theorem for the square of operator and perturbations
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Cao, Xiaohong
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2015, 17 (05)

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