Weighted composition operators and‎ ‎dynamical systems on weighted Spaces of holomorphic functions on‎ ‎Banach spaces

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Weighted Composition Operators and Dynamical Systems on Weighted Spaces of Holomorphic Functions on Banach Spaces

Let BX and BY be the open unit balls of the Banach SpacesX and Y , respectively. Let V and W be two countable families of weights on BX and BY , respectively. Let HV (BX) (or HV0 (BX)) and HW (BY ) (or HW0 (BY )) be the weighted Fréchet spaces of holomorphic functions. In this paper, we investigate the holomorphic mappings φ : BX → BY and ψ : BX → C which characterize continuous weighted compos...

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A Note on Spectra of Weighted Composition Operators on Weighted Banach Spaces of Holomorphic Functions

We characterize the spectra of bounded weighted composition operators acting on the weighted Banach spaces H∞ v of analytic functions on the unit disc defined for a radial weight v, when the symbol of the operator has a fixed point in the open unit disc. 2000 Mathematics Subject Classification: 47B33, 47B38

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ژورنال

عنوان ژورنال: Annals of Functional Analysis

سال: 2013

ISSN: 2008-8752

DOI: 10.15352/afa/1399899525