Holomorphic germs on certain locally convex spaces
type: Item
instance of: scholarly article
title: Holomorphic germs on certain locally convex spaces
zbMATH Open document ID: 0614.46017
DOI: 10.1007/BF01760808
author: Roberto Luiz Soraggi
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1986-01-01T00:00:00Z
review text: The author studies bounded sets in the space of holomorphic germs defined on compact subsets of non-metrizable locally convex spaces. This problem is related to the problem of existence of uniform Cauchy estimates for the bounded subsets. The author shows that the space of holomorphic germs defined on a compact subset of a reflexive dual Fréchet space is regular if the bounded subsets of the space of holomorphic germs defined at the origin have uniform Cauchy estimates.
Mathematics Subject Classification ID: 46E10
Mathematics Subject Classification ID: 46G20
Mathematics Subject Classification ID: 46A04
zbMATH DE Number: 3994275
zbMATH Keywords: bounded sets in the space of holomorphic germs defined on compact subsets of non-metrizable locally convex spaces
zbMATH Keywords: existence of uniform Cauchy estimates
zbMATH Keywords: reflexive dual Fréchet space
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3994275