Holomorphic mappings of bounded type
type: Item
instance of: scholarly article
title: Holomorphic mappings of bounded type
zbMATH Open document ID: 0806.46047
DOI: 10.1016/0022-247X(92)90339-F
author: Pablo Galindo
author: Domingo García
author: Manuel Maestre
published in: Journal of Mathematical Analysis and Applications
publication date: 1992-09-27T00:00:00Z
review text: Let \(E\) be a Banach space. It is proved, that the Fréchet space \({\mathcal H}_ b(E)\) is the strong dual of an (LB)-space, \({\mathcal P}_ b(E)\), which leads to a linearization of the holomorphic mappings of bounded type. Moreover, it is shown that the holomorphic functions defined on (DFC)-spaces are of uniformly bounded type.
Mathematics Subject Classification ID: 46G20
zbMATH DE Number: 62808
zbMATH Keywords: strong dual of an (LB)-space
zbMATH Keywords: linearization of the holomorphic mappings of bounded type
zbMATH Keywords: (DFC)-spaces are of uniformly bounded type
MaRDI profile type: Publication
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full work available at URL: 0022-247x(92)90339-f
OpenAlex ID: W2062005862
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description: scientific article; zbMATH DE number 62808