Normaloid weighted composition operators on H2

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:467

Article

Thompson, Derek¹ 

[1] Taylor Univ, Upland, IN 46989 USA

关键词: Normaloid operator;    Convexoid operator;    Hyponormal operator;    Composition operator;    Weighted composition operator;    Spectral radius;   

DOI  :  10.1016/j.jmaa.2018.07.061

来源: Elsevier

【 摘 要 】

When phi is an analytic self-map of the unit disk with Denjoy-Wolff point alpha is an element of D, and rho(W-Psi,W-phi) = Psi(a), we give an exact characterization for when W-Psi,W-phi is normaloid. We also determine the spectral radius, essential spectral radius, and essential norm for a class of non-power-compact composition operators whose symbols have Denjoy-Wolff point in D. When the Denjoy-Wolff point is on partial derivative D, we give sufficient conditions for several new classes of normaloid weighted composition operators. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free