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On the generalized mean transforms of complex symmetric operators
- Title
- On the generalized mean transforms of complex symmetric operators
- Authors
- Benhida, Chafiq; Cho, Muneo; Ko, Eungil; Lee, Ji Eun
- Ewha Authors
- 고응일
- SCOPUS Author ID
- 고응일
- Issue Date
- 2020
- Journal Title
- BANACH JOURNAL OF MATHEMATICAL ANALYSIS
- ISSN
- 2662-2033
1735-8787
- Citation
- BANACH JOURNAL OF MATHEMATICAL ANALYSIS vol. 14, no. 3, pp. 842 - 855
- Keywords
- Generalized mean transform; Complex symmetric operator; Skew-complex symmetric operator
- Publisher
- SPRINGER BASEL AG
- Indexed
- SCIE
- Document Type
- Article
- Abstract
- 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.
- DOI
- 10.1007/s43037-019-00041-1
- Appears in Collections:
- 자연과학대학 > 수학전공 > Journal papers
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