On m-isometric toeplitz operators

Eungil Ko, Jongrak Lee

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

In this paper, we study m-isometric Toeplitz operators Tφ with rational symbols. We characterize m-isometric Toeplitz operators Tφ by properties of the rational symbols φ. In addition, we give a necessary and sufficient condition for Toeplitz operators Tφ with analytic symbols φ to be m-expansive or m-contractive. Finally, we give some results for m-expansive and m-contractive Toeplitz operators Tφ with trigonometric polynomial symbols φ.

Original languageEnglish
Pages (from-to)367-378
Number of pages12
JournalBulletin of the Korean Mathematical Society
Volume55
Issue number2
DOIs
StatePublished - 2018

Keywords

  • Contractive operators
  • Expansive operators
  • M-isometric operators
  • Toeplitz operators

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