On m-Complex Symmetric Operators

Muneo Chō, Eungil Ko, Ji Eun Lee

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


In this paper, we study the spectral properties of m-complex symmetric operators. In particular, we prove that if T is m-complex symmetric with conjugation C, then Tn is also m-complex symmetric with conjugation C for any n∈ N. Moreover, if T is m-complex symmetric with conjugation C, then T is decomposable if and only if T* has the property (β). As some applications, we give several examples of m-complex symmetric operators with conjugation C.

Original languageEnglish
Pages (from-to)2025-2038
Number of pages14
JournalMediterranean Journal of Mathematics
Issue number4
StatePublished - 1 Aug 2016


  • Decomposable
  • m-Complex symmetric operator
  • Single-valued extension property


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