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Operator Matrices and Their Weyl Type Theorems
- Title
- Operator Matrices and Their Weyl Type Theorems
- Authors
- An, Il Ju; Ko, Eungil; Lee, Ji Eun
- Ewha Authors
- 고응일
- SCOPUS Author ID
- 고응일
- Issue Date
- 2020
- Journal Title
- FILOMAT
- ISSN
- 0354-5180
- Citation
- FILOMAT vol. 34, no. 10, pp. 3191 - 3204
- Keywords
- 2 x 2 operator matrices; Browder essential approximate point spectrum; generalized Weyl's theorem; generalized a-Weyl's theorem; generalized a-Browder's theorem
- Publisher
- UNIV NIS, FAC SCI MATH
- Indexed
- SCIE; SCOPUS
- Document Type
- Article
- Abstract
- We denote the collection of the 2 x 2 operator matrices with (1, 2)-entries having closed range by S. In this paper, we study the relations between the operator matrices in the class S and their component operators in terms of the Drazin spectrum and left Drazin spectrum, respectively. As some application of them, we investigate how the generalized Weyl's theorem and the generalized a-Weyl's theorem hold for operator matrices in S, respectively. In addition, we provide a simple example about an operator matrix in S satisfying such Weyl type theorems.
- DOI
- 10.2298/FIL2010191A
- Appears in Collections:
- 자연과학대학 > 수학전공 > Journal papers
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