Operator Matrices and Their Weyl Type Theorems
- 주제(키워드) 2 x 2 operator matrices , Browder essential approximate point spectrum , generalized Weyl's theorem , generalized a-Weyl's theorem , generalized a-Browder's theorem
- 주제(기타) Mathematics, Applied
- 주제(기타) Mathematics
- 설명문(일반) [An, Il Ju] Kyung Hee Univ, Dept Appl Math, Seoul, South Korea; [Ko, Eungil] Ewha Womans Univ, Dept Math, Seoul, South Korea; [Lee, Ji Eun] Sejong Univ, Dept Math & Stat, Seoul, South Korea
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- OA유형 gold
- 발행기관 UNIV NIS, FAC SCI MATH
- 발행년도 2020
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000175483
- 본문언어 영어
- Published As http://dx.doi.org/10.2298/FIL2010191A
초록/요약
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.
more