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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Detalles Bibliográficos
Publicado: 2009
Materias:
Analytic manifold structure
Fréchet algebra
Symmetrically regular Banach space
Weighted space of holomorphic functions
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00409383_v48_n2-4_p54_Carando
http://hdl.handle.net/20.500.12110/paper_00409383_v48_n2-4_p54_Carando
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00409383_v48_n2-4_p54_Carando
record_format dspace
spelling paper:paper_00409383_v48_n2-4_p54_Carando2023-06-08T15:04:42Z A Riemann manifold structure of the spectra of weighted algebras of holomorphic functions Analytic manifold structure Fréchet algebra Symmetrically regular Banach space Weighted space 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 natural analytic manifold structure when X is a symmetrically regular Banach space, and in particular when X = Cn. © 2009 Elsevier Ltd. All rights reserved. 2009 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00409383_v48_n2-4_p54_Carando http://hdl.handle.net/20.500.12110/paper_00409383_v48_n2-4_p54_Carando
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Analytic manifold structure
Fréchet algebra
Symmetrically regular Banach space
Weighted space of holomorphic functions
spellingShingle Analytic manifold structure
Fréchet algebra
Symmetrically regular Banach space
Weighted space of holomorphic functions
A Riemann manifold structure of the spectra of weighted algebras of holomorphic functions
topic_facet Analytic manifold structure
Fréchet algebra
Symmetrically regular Banach space
Weighted space of holomorphic functions
description 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.
title A Riemann manifold structure of the spectra of weighted algebras of holomorphic functions
title_short A Riemann manifold structure of the spectra of weighted algebras of holomorphic functions
title_full A Riemann manifold structure of the spectra of weighted algebras of holomorphic functions
title_fullStr A Riemann manifold structure of the spectra of weighted algebras of holomorphic functions
title_full_unstemmed A Riemann manifold structure of the spectra of weighted algebras of holomorphic functions
title_sort riemann manifold structure of the spectra of weighted algebras of holomorphic functions
publishDate 2009
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00409383_v48_n2-4_p54_Carando
http://hdl.handle.net/20.500.12110/paper_00409383_v48_n2-4_p54_Carando
_version_ 1768543076140187648

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