On the Toeplitzness of the adjoint of composition operators

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:408

Article

Cuckovic, Zeljko¹  Nikpour, Mehdi² 

[1] Univ Toledo, Dept Math & Stat, Toledo, OH 43606 USA

[2] Amer Univ Afghanistan, Dept Sci & Math, Kabul, Afghanistan

关键词: Hardy space of the unit disk;    Toeplitz operator;    Composition operator;   

DOI  :  10.1016/j.jmaa.2013.06.030

来源: Elsevier

【 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.

【 授权许可】

Free