Spectra of composition operators on algebras of analytic functions on Banach spaces
Published online by Cambridge University Press: 13 March 2009
Abstract
Let E be a Banach space, with unit ball BE. We study the spectrum and the essential spectrum of a composition operator on H∞(BE) determined by an analytic symbol with a fixed point in BE. We relate the spectrum of the composition operator to that of the derivative of the symbol at the fixed point. We extend a theorem of Zheng to the context of analytic symbols on the open unit ball of a Hilbert space.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 139 , Issue 1 , February 2009 , pp. 107 - 121
- Copyright
- Copyright © Royal Society of Edinburgh 2009
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