A Riemann manifold structure of the spectra of weighted algebras of holomorphic functions
In this paper we give general conditions on a countable family V of weights on an unbounded open set U in a complex Banach space X such that the weighted space H V (U) of holomorphic functions on U has a Fréchet algebra structure. For such weights it is shown that the spectrum of H V (U) has a natur...
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| Autores principales: | , , , |
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| Formato: | JOUR |
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00409383_v48_n2-4_p54_Carando |
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| Sumario: | In this paper we give general conditions on a countable family V of weights on an unbounded open set U in a complex Banach space X such that the weighted space H V (U) of holomorphic functions on U has a Fréchet algebra structure. For such weights it is shown that the spectrum of H V (U) has a natural analytic manifold structure when X is a symmetrically regular Banach space, and in particular when X = Cn. © 2009 Elsevier Ltd. All rights reserved. |
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