On the generalized mean transforms of complex symmetric operators
- 주제(키워드) Generalized mean transform , Complex symmetric operator , Skew-complex symmetric operator
- 주제(기타) Mathematics, Applied
- 주제(기타) Mathematics
- 설명문(일반) [Benhida, Chafiq] Univ Lille, Lab Paul Painleve, F-59655 Villeneuve, France; [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
- 발행기관 SPRINGER BASEL AG
- 발행년도 2020
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000174956
- 본문언어 영어
- Published As http://dx.doi.org/10.1007/s43037-019-00041-1
초록/요약
In this paper, we prove that if T is an element of L(H) is complex symmetric, then its generalized mean transform (t) over cap (t) (t not equal 0) of T is also complex symmetric. Next, we consider complex symmetry property of the mean transform (t) over cap (0) of truncated weighted shift operators. Finally, we study properties of the generalized mean transform of skew complex symmetric operators.
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