Numerical range of composition operators on a Hilbert space of Dirichlet series

被引：5

作者：

Finet, C

Queffélec, H

机构：

[1] Univ Mons, Inst Math, B-7000 Mons, Belgium

[2] Univ Lille 1, UFR Math, F-59655 Villeneuve Dascq, France

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2004年 / 377卷

关键词：

composition operator; numerical range; Dirichlet series;

D O I：

10.1016/j.laa.2003.05.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the numerical range of composition operators on a Hilbert space of Dirichlet series with square-summable coefficients. We first describe the numerical range of "nice" composition operators (as invertible, normal and isometric ones). We also focus on the zero-inclusion question for more general symbols. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：1 / 10

页数：10

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