On local spectral properties of operator matrices
- 주제(키워드) 2 x 2 operator matrices , Hyperinvariant subspace , The single-valued extension property , The property (beta) , Decomposable , Weyl's theorem
- 주제(기타) Mathematics, Applied; Mathematics
- 설명문(일반) [An, Il Ju] Kyung Hee Univ, Dept Appl Math, Yongin 17104, Gyeonggi Do, South Korea; [Ko, Eungil] Ewha Womans Univ, Dept Math, Seoul 120750, South Korea; [Lee, Ji Eun] Sejong Univ, Dept Math Stat, Seoul 143747, South Korea
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- OA유형 gold
- 발행기관 SPRINGER
- 발행년도 2021
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000183629
- 본문언어 영어
- Published As http://dx.doi.org/10.1186/s13660-021-02697-6
초록/요약
In this paper, we focus on a 2 x 2 operator matrix T-epsilon k as follows: T-epsilon k = (GRAPHICS), where epsilon(k) is a positive sequence such that lim(k ->infinity) epsilon(k) = 0. We first explore how T-epsilon k has several local spectral properties such as the single-valued extension property, the property (beta), and decomposable. We next study the relationship between some spectra of T-epsilon k and spectra of its diagonal entries, and find some hypotheses by which T-epsilon k satisfies Weyl's theorem and a-Weyl's theorem. Finally, we give some conditions that such an operator matrix T-epsilon k has a nontrivial hyperinvariant subspace.
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