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HYPERCYCLICITY AND WEYI, TYPE THEOREMS FOR OPERATOR MATRICES

Authors
An, Il JuHeo, Jaeseong
Issue Date
Jun-2018
Publisher
ELEMENT
Keywords
2 x 2 operator matrices; Browder essential approximate point spectrum; Weyl' s theorem; a-Weyl' s theorem; a-Browder' s theorem
Citation
OPERATORS AND MATRICES, v.12, no.2, pp.321 - 332
Indexed
SCIE
SCOPUS
Journal Title
OPERATORS AND MATRICES
Volume
12
Number
2
Start Page
321
End Page
332
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/149923
DOI
10.7153/oam-2018-12-21
ISSN
1846-3886
Abstract
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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