ON OPERATORS T COMMUTING WITH CTC WHERE C IS A CONJUGATION
- 주제(키워드) Conjugation operator , complex symmetric operator , normal operator
- 주제(기타) Mathematics
- 설명문(일반) [Cho, Muneo] Kanagawa Univ, Dept Math, Hiratsuka, Kanagawa 2591293, Japan; [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, KCI등재
- 발행기관 KOREAN MATHEMATICAL SOC
- 발행년도 2020
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000166018
- 본문언어 영어
- Published As http://dx.doi.org/10.4134/BKMS.b190054
초록/요약
In this paper, we study the properties of T satisfying [CTC, T] = 0 for some conjugation C where [R, S] := RS - SR: In particular, we show that if T is normal, then [CTC, C] = 0. Moreover, the class of operators T satisfy [CTC, T] = 0 is norm closed. Finally, we prove that if T is complex symmetric, then T is binormal if and only if [C vertical bar T vertical bar C, vertical bar T vertical bar] = 0.
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