n-FOLD JORDAN PRODUCT COMMUTING MAPS WITH A lambda-ALUTHGE TRANSFORM
- 주제(키워드) Quasi-normal operators , polar decomposition , lambda-Alutlige transform
- 주제(기타) Mathematics
- 설명문(일반) [Kim, Younjin] Ewha Womans Univ, Inst Math Sci, Seoul, South Korea; [Ko, Eungil] Ewha Womans Univ, Dept Math, Seoul, South Korea
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- OA유형 gold
- 발행기관 ELEMENT
- 발행년도 2020
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000168811
- 본문언어 영어
- Published As https://dx.doi.org/10.7153/oam-2020-14-24
초록/요약
Let B(H) be the set of all bounded linear operators from H to H, where H is a complex Hilbert space. In this paper, we study the properties of T when the lambda-Aluthge transform of T-n is T . Also we prove that the bijective map Phi: B(H) -> B(K) commutes with a lambda-Aluthge transform under the n -fold jordan product if and only if there exists an unitary operator U :H -> K such that Phi(T)= UTU* for every T in B(H).
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