Complex symmetric composition operators on a Hilbert space of Dirichlet series

被引：15

作者：

Yao, Xingxing ^{[1
]}

机构：

[1] Wuhan Inst Technol, Sch Sci, Wuhan 430205, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 452卷 / 02期

基金：

美国国家科学基金会;

关键词：

Composition operator; Dirichlet series; Complex symmetry;

D O I：

10.1016/j.jmaa.2017.03.076

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

On the Hilbert space of Dirichlet series with square summable coefficients, there are no non-normal complex symmetric composition operators induced by non-constant symbols. This is in sharp contrast with the phenomenon on the classical Hardy space over the unit disk. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：1413 / 1419

页数：7

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