On algebras of holomorphic functions of a given type

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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Bibliographic Details

Published in:	Journal of mathematical analysis and applications Vol. 389; no. 2; pp. 792 - 811
Main Author:	Muro, Santiago
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 15.05.2012
Subjects:	Fréchet algebras Holomorphy types Polynomial ideals Riemann domains Holomorphy types Polynomial ideals Fréchet algebras Riemann domains
ISSN:	0022-247X, 1096-0813
Online Access:	Get full text
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