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

Original languageEnglish
JournalLinear and Multilinear Algebra
DOIs
StateAccepted/In press - 2021

Keywords

  • -isometric operators
  • block Toeplitz operators
  • Toeplitz operators

Fingerprint

Dive into the research topics of '(m, C)-Isometric Toeplitz operators with rational symbols'. Together they form a unique fingerprint.

Cite this