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

页码：596 / 607

页数：12

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