Remark on complex symmetric operator matrices

Eungil Ko, Ji Eun Lee

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

In this paper, we study conjugation matrices and complex symmetric operator matrices. In particular, we investigate conditions for 2 * 2 operator matrices to be conjugations or complex symmetric on H+H. Using these results, we provide examples of conjugation matrices and complex symmetric operators. Finally, we apply the main results to block Toeplitz operators and completion problems.

Original languageEnglish
Pages (from-to)1198-1216
Number of pages19
JournalLinear and Multilinear Algebra
Volume67
Issue number6
DOIs
StatePublished - 3 Jun 2019

Keywords

  • 47B15
  • Conjugation matrices
  • Primary: 47A05
  • Secondary: 47B35
  • block Toeplitz operators
  • complex symmetric operator matrices

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