HYPERCYCLICITY AND WEYI, TYPE THEOREMS FOR OPERATOR MATRICES

被引：1

作者：

An, Il Ju ^{[1
]}

Heo, Jaeseong ^{[2
]}

机构：

[1] Ewha Womans Univ, Inst Math Sci, Seoul 03760, South Korea

[2] Hanyang Univ, Res Inst Nat Sci, Dept Math, Seoul 04763, South Korea

来源：

OPERATORS AND MATRICES | 2018年 / 12卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

2 x 2 operator matrices; Browder essential approximate point spectrum; Weyl's theorem; a-Weyl's theorem; a-Browder's theorem; SPECTRA;

D O I：

10.7153/oam-2018-12-21

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the hypercyclicity and supercyclicity for operator matrices in the class S consisting 2 x 2 operator matrices with (1,2)-entries having closed range. Under some conditions, we find the necessary and sufficient conditions for 2 x 2 operator matrices in the class S for which Weyl's theorem, Browder's theorem, a-Weyl's theorem or a-Bmwder's theorem hold.

引用

页码：321 / 332

页数：12

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