Isolated points and essential components of composition operators on 𝐻^{∞}-Reference-Cited by-同舟云学术

Isolated points and essential components of composition operators on 𝐻^{∞}

Published:2001-10-24 Issue:6 Volume:130 Page:1765-1773
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Hosokawa Takuya,Izuchi Keiji,Zheng Dechao

Abstract

We consider the topological space of all composition operators on the Banach algebra of bounded analytic functions on the unit disk. We obtain a function theoretic characterization of isolated points and show that each isolated composition operator is essentially isolated.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2002-130-06/S0002-9939-01-06233-5/S0002-9939-01-06233-5.pdf

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