On local spectral properties of complex symmetric operators

S. Jung, E. Ko, M. Lee, J. Lee

Research output: Contribution to journalArticlepeer-review

38 Scopus citations

Abstract

In this paper we study properties of complex symmetric operators. In particular, we prove that every complex symmetric operator having property (β) or (δ) is decomposable. Moreover, we show that complex symmetric operator T has Dunford's property (C) and it satisfies Weyl's theorem if and only if its adjoint does.

Original languageEnglish
Pages (from-to)325-333
Number of pages9
JournalJournal of Mathematical Analysis and Applications
Volume379
Issue number1
DOIs
StatePublished - 1 Jul 2011

Keywords

  • Complex symmetric operator
  • Decomposable
  • Dunford's property (C)
  • Invariant subspaces
  • Property (β)
  • Weyl's theorem

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