On Extended Commuting Operators
- 주제(키워드) lambda-commuting operators , (lambda , mu)-commuting operators , polar decomposition , quasihyponormal operators
- 주제(기타) Mathematics, Applied; Mathematics
- 설명문(일반) [Jung, Sungeun] Hankuk Univ Foreign Studies, Dept Math, Seoul, South Korea; [Kim, Hyoungji] Iowa State Univ, Dept Math, Ames, IA USA; [Ko, Eungil] Ewha Womans Univ, Dept Math, Seoul, South Korea
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- OA유형 gold
- 발행기관 UNIV NIS, FAC SCI MATH
- 발행년도 2021
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000183835
- 본문언어 영어
- Published As http://dx.doi.org/10.2298/FIL2103883J
초록/요약
In this paper, we study properties of extended commuting operators. In particular, we provide the polar decomposition of the product of (lambda, mu)-commuting operators where lambda and mu are real numbers with lambda mu > 0. Furthermore, we find the restriction of mu for the product of (lambda, mu)-commuting quasihyponormal operators to be quasihyponormal. We also give spectral and local spectral relations between lambda-commuting operators. Moreover, we show that the operators lambda-commuting with a unilateral shift are representable as weighted composition operators.
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