The identity is isolated among composition operators
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- by C-H. Chu, R. V. Hügli and M. Mackey PDF
- Proc. Amer. Math. Soc. 132 (2004), 3305-3308 Request permission
Abstract:
Let $H^\infty (B)$ 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 $H^\infty (B)$. This answers a conjecture of Aron, Galindo and Lindström.References
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Additional Information
- C-H. Chu
- Affiliation: School of Mathematical Sciences, Queen Mary College, University of London, London E1 4NS, England
- MR Author ID: 199837
- Email: c.chu@qmul.ac.uk
- R. V. Hügli
- Affiliation: Department of Mathematics, University of California, Irvine, California 92697
- Email: remo.huegli@stat.unibe.ch
- M. Mackey
- Affiliation: Department of Mathematics, University College, Dublin 4, Ireland
- Email: michael.mackey@ucd.ie
- Received by editor(s): May 7, 2003
- Received by editor(s) in revised form: August 12, 2003
- Published electronically: May 21, 2004
- Communicated by: Joseph A. Ball
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 3305-3308
- MSC (2000): Primary 47B38, 46J15, 46G20, 32A10
- DOI: https://doi.org/10.1090/S0002-9939-04-07474-X
- MathSciNet review: 2073306