Composition operators similar to contractions

Research output: Contribution to journalArticle

Abstract

Operators of type f → f o ∞ acting on function spaces are called composition operators. We consider composition operators acting on the Hilbert Hardy space on the open unit disc or the right half-plane, study when they are similar to contractions, and obtain results interesting from the point of view of dilation theory of contractions and function theory.

Original languageEnglish (US)
Pages (from-to)561-571
Number of pages11
JournalActa Scientiarum Mathematicarum
Volume85
Issue number3-4
DOIs
StatePublished - 2019

Keywords

  • Composition operators
  • Contractions

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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