(m, C)-Isometric Toeplitz operators with rational symbols

Eungil Ko, Ji Eun Lee, Jongrak Lee

Research output: Contribution to journalArticlepeer-review

Abstract

An operator (Formula presented.) is said to be (m, C)-isometric if there exists a conjugation C such that (Formula presented.) for some positive integer m. In this paper, we study (m, C)-isometric Toeplitz operators T φ with rational symbols φ. We characterize (m, C)-isometric Toeplitz operators T φ by properties of the rational symbols φ. Moreover, we provide a concrete description of the (Formula presented.) -isometric block Toeplitz operators.

Original languageEnglish
Pages (from-to)4360-4376
Number of pages17
JournalLinear and Multilinear Algebra
Volume70
Issue number19
DOIs
StatePublished - 2022

Bibliographical note

Publisher Copyright:
© 2021 Informa UK Limited, trading as Taylor & Francis Group.

Keywords

  • (m, C)-isometric operators
  • Toeplitz operators
  • block Toeplitz operators

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