C-normal weighted composition operators on H²

2022/02/28 by Lian Hu, Songxiao Li, Hu, Lian +3
Mathematics · #Advanced Banach Space Theory #Advanced Topics in Algebra #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2202.13909

openalex publication_date 2022/02/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A bounded linear operator T on a separable complex Hilbert space H is called C-normal if there is a conjugation C on H such that CT^∗ TC=TT^∗. Let φ be a linear fractional self-map of \mathbbD. In this paper, we characterize the necessary and sufficient condition for the composition operator C_φ and weighted composition operator W_ψ,φ to be C-normal with some conjugations C and a function ψ.

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