On power similarity of complex symmetric operators

Eungil Ko, Ji Eun Lee, Mee Jung Lee

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

In this paper, we study properties of operators which are power similar to complex symmetric operators. In particular, we prove that if T is power similar to a complex symmetric operator, then T is decomposable modulo a closed set (Formula Presented) if and only if R has the Bishop’s property (β) modulo S. Using the results, we get some applications of such operators.

Original languageEnglish
Pages (from-to)3577-3586
Number of pages10
JournalFilomat
Volume33
Issue number11
DOIs
StatePublished - 2019

Keywords

  • Complex symmetric operator
  • Local spectral theory
  • Power similar

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