On m-Complex Symmetric Operators

Muneo Chō, Eungil Ko, Ji Eun Lee

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

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
Volume13
Issue number4
DOIs
StatePublished - 1 Aug 2016

Keywords

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

Fingerprint

Dive into the research topics of 'On m-Complex Symmetric Operators'. Together they form a unique fingerprint.

Cite this