On algebras of holomorphic functions of a given type

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We show that several spaces of holomorphic functions on a Riemann domain over a Banach space, including the nuclear and Hilbert-Schmidt bounded type, are locally m-convex Fréchet algebras. We prove that the spectrum of these algebras has a natural analytic structure, which we use to characterize the...

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Autor principal: Muro, S.
Formato: JOUR
Materias:
Fréchet algebras
Holomorphy types
Polynomial ideals
Riemann domains
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0022247X_v389_n2_p792_Muro
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_0022247X_v389_n2_p792_Muro
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spelling todo:paper_0022247X_v389_n2_p792_Muro2023-10-03T14:29:18Z On algebras of holomorphic functions of a given type Muro, S. Fréchet algebras Holomorphy types Polynomial ideals Riemann domains We show that several spaces of holomorphic functions on a Riemann domain over a Banach space, including the nuclear and Hilbert-Schmidt bounded type, are locally m-convex Fréchet algebras. We prove that the spectrum of these algebras has a natural analytic structure, which we use to characterize the envelope of holomorphy. We also show a Cartan-Thullen type theorem. © 2011 Elsevier Inc. Fil:Muro, S. 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_0022247X_v389_n2_p792_Muro
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Fréchet algebras
Holomorphy types
Polynomial ideals
Riemann domains
spellingShingle Fréchet algebras
Holomorphy types
Polynomial ideals
Riemann domains
Muro, S.
On algebras of holomorphic functions of a given type
topic_facet Fréchet algebras
Holomorphy types
Polynomial ideals
Riemann domains
description We show that several spaces of holomorphic functions on a Riemann domain over a Banach space, including the nuclear and Hilbert-Schmidt bounded type, are locally m-convex Fréchet algebras. We prove that the spectrum of these algebras has a natural analytic structure, which we use to characterize the envelope of holomorphy. We also show a Cartan-Thullen type theorem. © 2011 Elsevier Inc.
format JOUR
author Muro, S.
author_facet Muro, S.
author_sort Muro, S.
title On algebras of holomorphic functions of a given type
title_short On algebras of holomorphic functions of a given type
title_full On algebras of holomorphic functions of a given type
title_fullStr On algebras of holomorphic functions of a given type
title_full_unstemmed On algebras of holomorphic functions of a given type
title_sort on algebras of holomorphic functions of a given type
url http://hdl.handle.net/20.500.12110/paper_0022247X_v389_n2_p792_Muro
work_keys_str_mv AT muros onalgebrasofholomorphicfunctionsofagiventype
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