PROPERTIES OF OPERATOR MATRICES

被引：3

作者：

An, Il Ju ^{[1
]}

Ko, Eungil ^{[2
]}

Lee, Ji Eun ^{[3
]}

机构：

[1] Kyung Hee Univ, Dept Appl Math, Yongin 17104, South Korea

[2] Ewha Womans Univ, Dept Math, Seoul 03760, South Korea

[3] Sejong Univ, Dept Math & Stat, Seoul 05006, South Korea

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2020年 / 57卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

2 x 2 operator matrices; the property (beta); decomposable; the property (C); Browder essential approximate point spectrum; Weyl's theorem; a-Weyl's theorem; a-Browder's theorem; WEYLS THEOREM; HYPONORMAL-OPERATORS; SPECTRA;

D O I：

10.4134/JKMS.j190439

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let S be the collection of the operator matrices [GRAPHICS] where the range of C is closed. In this paper, we study the properties of operator matrices in the class S. We first explore various local spectral relations, that is, the property (beta), decomposable, and the property (C) between the operator matrices in the class S and their component operators. Moreover, we investigate Weyl and Browder type spectra of operator matrices in the class S, and as some applications, we provide the conditions for such operator matrices to satisfy a-Weyl's theorem and a-Browder's theorem, respectively.

引用

页码：893 / 913

页数：21

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