Applications sous-linéaires à valeurs dans un espace de fonction continues. (Sublinear mappings with values in a space of continuous functions)
type: Item
instance of: scholarly article
title: Applications sous-linéaires à valeurs dans un espace de fonction continues. (Sublinear mappings with values in a space of continuous functions)
zbMATH Open document ID: 0609.46021
DOI: 10.1007/BF01773381
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1984-01-01T00:00:00Z
review text: The authors give several conditions based upon the condition that a sublinear function f from the Banach space X into C(T) (T-compact Hausdorff) is iso lower semicontinuous which are sufficient to imply that f is approximable from below at each x in its domain by continuous affine maps from X into C(T). Examples are given to show that certain features of the sufficient conditions are necessary.
Mathematics Subject Classification ID: 46G05
Mathematics Subject Classification ID: 46A55
Mathematics Subject Classification ID: 90C55
Mathematics Subject Classification ID: 41A65
Mathematics Subject Classification ID: 90C48
zbMATH DE Number: 3985922
zbMATH Keywords: representing a convex mapping
zbMATH Keywords: sublinear function
author: Jean-Paul Penot
author: Michel Théra
Wikidata QID: Q57580635
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01773381
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description: scientific article; zbMATH DE number 3985922