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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Detalles Bibliográficos
Autor principal: Muro, S.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 2012
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
Descripción
Sumario: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.

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