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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, ChafiqCho, MuneoKo, EungilLee, Ji Eun
Ewha Authors
고응일
SCOPUS Author ID
고응일scopus
Issue Date
2020
Journal Title
BANACH JOURNAL OF MATHEMATICAL ANALYSIS
ISSN
2662-2033JCR Link

1735-8787JCR Link
Citation
BANACH JOURNAL OF MATHEMATICAL ANALYSIS vol. 14, no. 3, pp. 842 - 855
Keywords
Generalized mean transformComplex symmetric operatorSkew-complex symmetric operator
Publisher
SPRINGER BASEL AG
Indexed
SCIE WOS
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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