The identity is isolated among composition operators

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Title: The identity is isolated among composition operators
Authors: Chu, C.-H.
Hügli, Remo V.
Mackey, Michael
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Date: 2004
Online since: 2015-01-15T12:35:44Z
Abstract: Let H∞(B) be the Banach algebra of bounded holomorphic functions on the open unit ball B of a Banach space. We show that the identity operator is an isolated point in the space of composition operators on H∞(B). This answers a conjecture of Aron, Galindo and Lindstrom.
Type of material: Journal Article
Publisher: American Mathematical Society
Journal: Proceedings of the American Mathematical Society
Volume: 132
Issue: 11
Start page: 3305
End page: 3308
Copyright (published version): 2004 American Mathematical Society
Keywords: Composition operatorHolomorphic function on Banach spaceCarathéodory distance
DOI: 10.1090/S0002-9939-04-07474-X
Language: en
Status of Item: Peer reviewed
Appears in Collections:Mathematics and Statistics Research Collection

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