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

被引：40
|
作者：
Le, Trieu [1 ]
机构：
[1] Univ Toledo, Dept Math & Stat, Toledo, OH 43606 USA
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 395卷 / 02期
关键词：
Weighted composition operators; Self-adjoint operators; Normal operators; Reproducing kernel Hilbert spaces;
D O I：
10.1016/j.jmaa.2012.05.065
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：596 / 607
页数：12
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