On properties of C-normal operators II
- 주제(키워드) Binormal , C-normal operator , The property (C) , The property (β)
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 Birkhauser
- 발행년도 2023
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000205856
- 본문언어 영어
- Published As https://doi.org/10.1007/s43034-022-00246-w
초록/요약
For T∈ L(H) , an operator T is called C-normal if (CT) #CT= CT(CT) # for a conjugation C on H. In this paper, we continue our study, begun in Ko et al. (Banach J. Math. Anal. 14:1711–1727, 2020), of various properties of C-normal operators. Especially, we prove that if T= U
more초록/요약
is the polar decomposition of T, C is a conjugation on H with U∗CU∗= C, and T is C-normal, then T∗ possess the property (β) , the single valued extension property, the property (C) if and only if T possess, respectively. In addition, if T is C-normal, then T is binormal if and only if
more초록/요약
mC commute for everyl positive integers m, n. © 2023, Tusi Mathematical Research Group (TMRG).
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