Characterizations of binormal composition operators with linear fractional symbols on H2

Sungeun Jung, Yoenha Kim, Eungil Ko

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

For an analytic function φ:D→D, the composition operator Cφ is the operator on the Hardy space H2 defined by Cφf = f φ for all f in H2. In this paper, we give necessary and sufficient conditions for the composition operator Cφ to be binormal where the symbol φ is a linear fractional selfmap of D. Furthermore, we show that Cφ is binormal if and only if it is centered when φ is an automorphism of D or φ(z) = sz + t, |s| + |t| ≤ 1. We also characterize several properties of binormal composition operators with linear fractional symbols on H2.

Original languageEnglish
Pages (from-to)252-263
Number of pages12
JournalApplied Mathematics and Computation
Volume261
DOIs
StatePublished - 15 Jun 2015

Keywords

  • Binormal
  • Centered
  • Composition operator

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