PROPERTIES OF OPERATOR MATRICES
- 주제(키워드) 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
- 주제(기타) Mathematics, Applied
- 주제(기타) Mathematics
- 설명문(일반) [An, Il Ju] Kyung Hee Univ, Dept Appl Math, Yongin 17104, South Korea; [Ko, Eungil] Ewha Womans Univ, Dept Math, Seoul 03760, South Korea; [Lee, Ji Eun] Sejong Univ, Dept Math & Stat, Seoul 05006, South Korea
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS, KCI등재
- 발행기관 KOREAN MATHEMATICAL SOC
- 발행년도 2020
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000172324
- 본문언어 영어
- Published As https://dx.doi.org/10.4134/JKMS.j190439
초록/요약
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.
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