Characterizations of binormal composition operators with linear fractional symbols on H2

Sungeun Jung, Yoenha Kim and Eungil Ko

Applied Mathematics and Computation, 2015, vol. 261, issue C, 252-263

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.

Keywords: Composition operator; Binormal; Centered (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:261:y:2015:i:c:p:252-263

DOI: 10.1016/j.amc.2015.03.096

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