Fréchet-valued holomorphic functions on compact sets and the properties \((\overline{DN}, LB_\infty,\Omega)\)
type: Item
instance of: scholarly article
title: Fréchet-valued holomorphic functions on compact sets and the properties \((\overline{DN}, LB_\infty,\Omega)\)
zbMATH Open document ID: 0945.46025
author: Duong Luong Son
author: Phan Thien Danh
published in: Vietnam Journal of Mathematics
publication date: 1999-11-21T00:00:00Z
review text: The authors show that every weakly holomorphic function on a compact set of uniqueness in a Fréchet space \(E \in (\Omega)\) with values in a Fréchet space \(F \in (\overline {DN})\) is holomorphic. A characterization of Fréchet space with \((LB_\infty)\) is also established.
Mathematics Subject Classification ID: 46G20
zbMATH DE Number: 1321721
zbMATH Keywords: weakly holomorphic function
zbMATH Keywords: compact set of uniqueness
zbMATH Keywords: Fréchet space with \((LB_\infty)\)
reviewed by: Denis R. Bell
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1321721