On the Toeplitzness of the adjoint of composition operators

被引：5
|
作者：
Cuckovic, Zeljko [1 ]
Nikpour, Mehdi [2 ]
机构：
[1] Univ Toledo, Dept Math & Stat, Toledo, OH 43606 USA
[2] Amer Univ Afghanistan, Dept Sci & Math, Kabul, Afghanistan
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 408卷 / 02期
关键词：
Hardy space of the unit disk; Toeplitz operator; Composition operator;
D O I：
10.1016/j.jmaa.2013.06.030
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Building on techniques developed by Cowen (1988) [3] and Nazarov-Shapiro (2007) [10], it is shown that the adjoint of a composition operator, induced by a unit disk-automorphism, is not strongly asymptotically Toeplitz. This result answers Nazarov-Shapiro's question in Nazarov and Shapiro (2007) [10]. Published by Elsevier Inc.
引用
收藏
页码：541 / 546
页数：6
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