Spectra of weighted algebras of holomorphic functions

We consider weighted algebras of holomorphic functions on a Banach space. We determine conditions on a family of weights that assure that the corresponding weighted space is an algebra or has polynomial Schauder decompositions. We study the spectra of weighted algebras and endow them with an analyti...

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Autores principales: Carando, D., Sevilla-Peris, P.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00255874_v263_n4_p887_Carando
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_00255874_v263_n4_p887_Carando2023-10-03T14:36:23Z Spectra of weighted algebras of holomorphic functions Carando, D. Sevilla-Peris, P. We consider weighted algebras of holomorphic functions on a Banach space. We determine conditions on a family of weights that assure that the corresponding weighted space is an algebra or has polynomial Schauder decompositions. We study the spectra of weighted algebras and endow them with an analytic structure. We also deal with composition operators and algebra homomorphisms, in particular to investigate how their induced mappings act on the analytic structure of the spectrum. Moreover, a Banach-Stone type question is addressed. © Springer-Verlag 2008. Fil:Carando, D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00255874_v263_n4_p887_Carando
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We consider weighted algebras of holomorphic functions on a Banach space. We determine conditions on a family of weights that assure that the corresponding weighted space is an algebra or has polynomial Schauder decompositions. We study the spectra of weighted algebras and endow them with an analytic structure. We also deal with composition operators and algebra homomorphisms, in particular to investigate how their induced mappings act on the analytic structure of the spectrum. Moreover, a Banach-Stone type question is addressed. © Springer-Verlag 2008.
format JOUR
author Carando, D.
Sevilla-Peris, P.
spellingShingle Carando, D.
Sevilla-Peris, P.
Spectra of weighted algebras of holomorphic functions
author_facet Carando, D.
Sevilla-Peris, P.
author_sort Carando, D.
title Spectra of weighted algebras of holomorphic functions
title_short Spectra of weighted algebras of holomorphic functions
title_full Spectra of weighted algebras of holomorphic functions
title_fullStr Spectra of weighted algebras of holomorphic functions
title_full_unstemmed Spectra of weighted algebras of holomorphic functions
title_sort spectra of weighted algebras of holomorphic functions
url http://hdl.handle.net/20.500.12110/paper_00255874_v263_n4_p887_Carando
work_keys_str_mv AT carandod spectraofweightedalgebrasofholomorphicfunctions
AT sevillaperisp spectraofweightedalgebrasofholomorphicfunctions
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