HYPERCYCLICITY AND WEYI, TYPE THEOREMS FOR OPERATOR MATRICES
- Authors
- An, Il Ju; Heo, 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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