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On properties of C-normal operators II
- Title
- On properties of C-normal operators II
- Authors
- Ko E.; Lee J.E.; Lee M.-J.
- Ewha Authors
- 고응일
- SCOPUS Author ID
- 고응일
- Issue Date
- 2023
- Journal Title
- Annals of Functional Analysis
- ISSN
- 2008-8752
- Citation
- Annals of Functional Analysis vol. 14, no. 2
- Keywords
- Binormal; C-normal operator; The property (C); The property (β)
- Publisher
- Birkhauser
- Indexed
- SCIE; SCOPUS
- Document Type
- Article
- Abstract
- 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| T| 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 | T| n and C| T| mC commute for everyl positive integers m, n. © 2023, Tusi Mathematical Research Group (TMRG).
- DOI
- 10.1007/s43034-022-00246-w
- Appears in Collections:
- 자연과학대학 > 수학전공 > Journal papers
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