INVARIANT SUBSPACES OF COMPOSITION OPERATORS ON A HILBERT SPACE OF DIRICHLET SERIES

被引：6

作者：

Wang, Maofa ^{[1
]}

Yao, Xingxing ^{[1
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

来源：

ANNALS OF FUNCTIONAL ANALYSIS | 2015年 / 6卷 / 04期

基金：

美国国家科学基金会; 高等学校博士学科点专项科研基金;

关键词：

Dirichlet series; composition operator; invariant subspace; algebraic operator;

D O I：

10.15352/afa/06-4-179

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study invariant subspaces of composition operators on the Hilbert space of Dirichlet series with square summable coefficients. The structure of invariant subspaces of a composition operator is characterized, and the strongly closed algebras generated by some composition operators with irrational symbols are shown to be reflexive. As an application, we provide a criterion for composition operators with certain symbols not to be algebraic.

引用

页码：179 / 190

页数：12

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