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.
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页码：321 / 332
页数：12
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