Invertible and normal composition operators on the Hilbert Hardy space of a half-plane

Valentin Matache

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

Operators on function spaces of form Cφf = f o φ, where φ is a fixed map are called composition operators with symbol φ. We study such operators acting on the Hilbert Hardy space over the right half-plane and characterize the situations when they are invertible, Fredholm, unitary, and Hermitian. We determine the normal composition operators with inner, respectively with Möbius symbol. In select cases, we calculate their spectra, essential spectra, and numerical ranges.

Original languageEnglish (US)
Pages (from-to)77-84
Number of pages8
JournalConcrete Operators
Volume3
Issue number1
DOIs
StatePublished - May 16 2016

Keywords

  • Composition operator
  • Half-plane
  • Hardy space

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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