Remarks on Complex Symmetric Operators

Sungeun Jung, Eungil Ko, Ji Eun Lee

Research output: Contribution to journalArticlepeer-review


An operator (Formula presented.) is said to be complex symmetric if there exists a conjugation C on (Formula presented.) such that (Formula presented.). In this paper, we study the spectral radius algebras for complex symmetric operators. In particular, we prove that if A is a complex symmetric operator, then the spectral radius algebra (Formula presented.) associated with A has a nontrivial invariant subspace under some conditions. Finally, we give some relations between (Formula presented.) and (Formula presented.) (defined below) when A is complex symmetric.

Original languageEnglish
Pages (from-to)719-728
Number of pages10
JournalMediterranean Journal of Mathematics
Issue number2
StatePublished - 1 Apr 2016

Bibliographical note

Publisher Copyright:
© 2015, Springer Basel.


  • Complex symmetric operator
  • Invariant subspace
  • Spectral radius algebra


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