Chu, C.-H.C.-H.ChuHügli, Remo V.Remo V.HügliMackey, MichaelMichaelMackey2015-01-152015-01-152004 Ameri2004Proceedings of the American Mathematical Societyhttp://hdl.handle.net/10197/6285Let 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.enFirst published in Proceedings of the American Mathematical Society 132(11): 3305-3308, 2004, published by the American Mathematical SocietyComposition operatorHolomorphic function on Banach spaceCarathéodory distanceJournal Article132113305330810.1090/S0002-9939-04-07474-X2014-12-10https://creativecommons.org/licenses/by-nc-nd/3.0/ie/