The identity is isolated among composition operators
|Title:||The identity is isolated among composition operators||Authors:||Chu, C.-H.
Hügli, Remo V.
|Permanent link:||http://hdl.handle.net/10197/6285||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 operator; Holomorphic function on Banach space; Carathéodory 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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