The numerical range of finite order elliptic automorphism composition operators

被引：2

作者：

Heydari, M. T. ^{[1
]}

Abdollahi, A. ^{[2
]}

机构：

[1] Univ Yasuj, Dept Math, Coll Sci, Yasuj 75914, Iran

[2] Shiraz Univ, Dept Math, Coll Sci, Shiraz 71454, Iran

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2015年 / 483卷

关键词：

Hardy space; Composition operator; Numerical range;

D O I：

10.1016/j.laa.2015.05.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the following conjecture, posed by P.S. Bourdon and J.H. Shapiro in [2]: The numerical range of a finite order elliptic automorphism is not a disk, and we show that this is true for a large class of such composition operators. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：128 / 138

页数：11

共 15 条

[1] The numerical range of a composition operator with conformal automorphism symbol [J].