On the generalized mean transforms of complex symmetric operators

Chafiq Benhida; Muneo Chō; Eungil Ko; Ji Eun Lee

doi:10.1007/s43037-019-00041-1

On the generalized mean transforms of complex symmetric operators

Chafiq Benhida
, Muneo Chō
, Eungil Ko
, Ji Eun Lee

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

In this paper, we prove that if T∈ L(H) is complex symmetric, then its generalized mean transform T^(t)(t≠0) of T is also complex symmetric. Next, we consider complex symmetry property of the mean transform T^ (0) of truncated weighted shift operators. Finally, we study properties of the generalized mean transform of skew complex symmetric operators.

Original language	English
Pages (from-to)	842-855
Number of pages	14
Journal	Banach Journal of Mathematical Analysis
Volume	14
Issue number	3
DOIs	https://doi.org/10.1007/s43037-019-00041-1
State	Published - 1 Jul 2020

Bibliographical note

Publisher Copyright:
© 2019, Tusi Mathematical Research Group (TMRG).

Keywords

Complex symmetric operator
Generalized mean transform
Skew-complex symmetric operator

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10.1007/s43037-019-00041-1

Cite this

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abstract = "In this paper, we prove that if T∈ L(H) is complex symmetric, then its generalized mean transform T\textasciicircum{}(t)(t≠0) of T is also complex symmetric. Next, we consider complex symmetry property of the mean transform T\textasciicircum{} (0) of truncated weighted shift operators. Finally, we study properties of the generalized mean transform of skew complex symmetric operators.",

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AU - Benhida, Chafiq

AU - Chō, Muneo

AU - Ko, Eungil

AU - Lee, Ji Eun

PY - 2020/7/1

Y1 - 2020/7/1

N2 - In this paper, we prove that if T∈ L(H) is complex symmetric, then its generalized mean transform T^(t)(t≠0) of T is also complex symmetric. Next, we consider complex symmetry property of the mean transform T^ (0) of truncated weighted shift operators. Finally, we study properties of the generalized mean transform of skew complex symmetric operators.

AB - In this paper, we prove that if T∈ L(H) is complex symmetric, then its generalized mean transform T^(t)(t≠0) of T is also complex symmetric. Next, we consider complex symmetry property of the mean transform T^ (0) of truncated weighted shift operators. Finally, we study properties of the generalized mean transform of skew complex symmetric operators.

KW - Complex symmetric operator

KW - Generalized mean transform

KW - Skew-complex symmetric operator

UR - https://www.scopus.com/pages/publications/85079830250

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DO - 10.1007/s43037-019-00041-1

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EP - 855

JO - Banach Journal of Mathematical Analysis

JF - Banach Journal of Mathematical Analysis

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ER -

On the generalized mean transforms of complex symmetric operators

Abstract

Bibliographical note

Keywords

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