Self-adjoint, unitary, and normal weighted composition operators in several variables

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:395

Article

Le, Trieu

关键词: Weighted composition operators;    Self-adjoint operators;    Normal operators;    Reproducing kernel Hilbert spaces;   

DOI  :  10.1016/j.jmaa.2012.05.065

来源: Elsevier

【 摘 要 】

We study weighted composition operators on Hilbert spaces of analytic functions on the unit ball with kernels of the form (1 - < z, w >)(-gamma) for gamma > 0. We find necessary and sufficient conditions for the adjoint of a weighted composition operator to be a weighted composition operator or the inverse of a weighted composition operator. We then obtain characterizations of self-adjoint and unitary weighted composition operators. Normality of these operators is also investigated. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free