On Power Similarity of Complex Symmetric Operators
- 주제(키워드) Power similar , Complex symmetric operator , Local spectral theory
- 주제(기타) Mathematics, Applied; Mathematics
- 설명문(일반) [Ko, Eungil] Ewha Womans Univ, Dept Math, Seoul 03760, South Korea; [Lee, Ji Eun] Sejong Univ, Dept Math & Stat, Seoul 05006, South Korea; [Lee, Mee-Jung] Ewha Womans Univ, Inst Mathmat Sci, Seoul 03760, South Korea
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- OA유형 gold
- 발행기관 UNIV NIS, FAC SCI MATH
- 발행년도 2019
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000166019
- 본문언어 영어
- Published As http://dx.doi.org/10.2298/FIL1911577K
초록/요약
In this paper, we study properties of operators which are power similar to complex symmetric operators. In particular, we prove that if T is power similar to a complex symmetric operator, then T is decomposable modulo a closed set S subset of C if and only if R has the Bishop's property (beta) modulo S. Using the results, we get some applications of such operators.
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