On the generalized mean transforms of complex symmetric operators

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

Research output: Contribution to journalArticlepeer-review

2 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 languageEnglish
Pages (from-to)842-855
Number of pages14
JournalBanach Journal of Mathematical Analysis
Volume14
Issue number3
DOIs
StatePublished - 1 Jul 2020

Keywords

  • Complex symmetric operator
  • Generalized mean transform
  • Skew-complex symmetric operator

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