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PROPERTIES OF OPERATOR MATRICES
- Title
- PROPERTIES OF OPERATOR MATRICES
- Authors
- An, Il Ju; Ko, Eungil; Lee, Ji Eun
- Ewha Authors
- 고응일
- SCOPUS Author ID
- 고응일
- Issue Date
- 2020
- Journal Title
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
- ISSN
- 0304-9914
2234-3008
- Citation
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY vol. 57, no. 4, pp. 893 - 913
- Keywords
- 2 x 2 operator matrices; the property (beta); decomposable; the property (C); Browder essential approximate point spectrum; Weyl's theorem; a-Weyl's theorem; a-Browder's theorem
- Publisher
- KOREAN MATHEMATICAL SOC
- Indexed
- SCIE; SCOPUS; KCI
- Document Type
- Article
- Abstract
- Let S be the collection of the operator matrices [GRAPHICS] where the range of C is closed. In this paper, we study the properties of operator matrices in the class S. We first explore various local spectral relations, that is, the property (beta), decomposable, and the property (C) between the operator matrices in the class S and their component operators. Moreover, we investigate Weyl and Browder type spectra of operator matrices in the class S, and as some applications, we provide the conditions for such operator matrices to satisfy a-Weyl's theorem and a-Browder's theorem, respectively.
- DOI
- 10.4134/JKMS.j190439
- Appears in Collections:
- 자연과학대학 > 수학전공 > Journal papers
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