Spectra of Composition Operators on Algebras of Analytic Functions on Banach Spaces
نویسندگان
چکیده
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.
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