The approximation property for spaces of holomorphic functions on infinite-dimensional spaces. I
type: Item
instance of: scholarly article
title: The approximation property for spaces of holomorphic functions on infinite-dimensional spaces. I
zbMATH Open document ID: 1060.41031
author: Seán Dineen
author: Jorge Mujica
published in: Journal of Approximation Theory
publication date: 2004-08-10T00:00:00Z
review text: Let \(U\) be an open set of a separable Fréchet space with the bounded approximation property. Then the space of holomorphic functions on \(U\) endowed with compact-open topology has the approximation property. The result is also applied to characterize the spectra of some algebras of holomorphic mappings with values in a Banach algebra.
Mathematics Subject Classification ID: 41A65
Mathematics Subject Classification ID: 46A04
Mathematics Subject Classification ID: 46J40
Mathematics Subject Classification ID: 46E10
zbMATH DE Number: 2085997
zbMATH Keywords: Fréchet space
reviewed by: Yuri A. Brudnyi
MaRDI profile type: Publication
full work available at URL: j.jat.2004.01.008
OpenAlex ID: W2094380738
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DOI: 10.1016/J.JAT.2004.01.008
description: scientific article; zbMATH DE number 2085997