COMPLEX SYMMETRY OF WEIGHTED COMPOSITION OPERATORS ON A HILBERT SPACE OF DIRICHLET SERIES

被引：1

作者：

Yao, Xingxing ^{[1
]}

机构：

[1] Wuhan Inst Technol, Sch Math & Phys, Wuhan 430205, Peoples R China

来源：

OPERATORS AND MATRICES | 2021年 / 15卷 / 04期

基金：

美国国家科学基金会;

关键词：

Weighted composition operator; Dirichlet series; complex symmetry;

D O I：

10.7153/oam-2021-15-102

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, some characterizations of symbols phi and phi are provided when the weighted composition operators C-phi,C-phi are complex symmetric on the Hilbert space of Dirichlet series with square summable coefficients. As an application, it is proved that there are non-trivial complex symmetric and non-normal weighted composition operators, although this phenomenon happens for neither composition operators nor multiplication operators.

引用

页码：1597 / 1606

页数：10

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