Numerical ranges of weighted composition operators

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:477

Article

Fatehi, Mahsa¹ 

[1] Islamic Azad Univ, Shiraz Branch, Dept Math, Shiraz, Iran

关键词: Weighted composition operator;    Numerical range;    Norm;    Hardy space;   

DOI  :  10.1016/j.jmaa.2019.04.072

来源: Elsevier

【 摘 要 】

In this paper, first we consider the numerical range of C-psi,C-phi, when phi(z) = rz with vertical bar r vertical bar <= 1. Then we study the numerical range of C-psi,C-phi, where phi is an elliptic automorphism. Next, the exact value of the norm of some weighted composition operators are obtained in order to investigate their numerical radiuses. Finally, we compute the numerical ranges of all hermitian weighted composition operators. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free