Crystal complex symmetric operators
- 주제(키워드) Weak crystal operator , Crystal operator , Crystal-like operator , Complex symmetric operator , Aluthge transform , Invariant subspace
- 주제(기타) Mathematics, Applied
- 주제(기타) 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 Math Sci, Seoul 03760, South Korea
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 SPRINGER BASEL AG
- 발행년도 2020
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000174937
- 본문언어 영어
- Published As http://dx.doi.org/10.1007/s43037-020-00078-7
초록/요약
In this paper, we study properties of weak crystal operators. In particular, we show that if T is an element of L(H) is a complex symmetric operator, then T is weak crystal, crystal, or crystal-like if and only if T* is weak crystal, crystal, or crystal-like, respectively. Moreover, we prove that if T is a quasiaffinity, then T is weak crystal if and only if the Aluthge transform (T) over tilde (or the Duggal transform (T) over tilde (D)) of T is weak crystal. Finally, we give several applications of these results.
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