Representation of linear functionals on quasi-continuous functions
type: Item
instance of: scholarly article
title: Representation of linear functionals on quasi-continuous functions
zbMATH Open document ID: 1247.26014
author: Joseph F. Vance
author: Charles Arthur Coppin
published in: Real Analysis Exchange
publication date: 2010-01-04T00:00:00Z
review text: The authors use a modified mean Stieltjes integral defined on a dense subset of a closed interval whose endpoints belong to the dense subset. They proves a representation theorem for bounded linear functionals with domain the set of all real-valued, quasi-continuous functions defined on a closed interval; thus, giving a characterization of a class of bounded linear functionals.
reviewed by: Octavian Lipovan
Mathematics Subject Classification ID: 26A42
zbMATH DE Number: 5652545
zbMATH Keywords: quasi-continuous functions
zbMATH Keywords: regulated functions
zbMATH Keywords: Stieltjes integral
MaRDI profile type: Publication
full work available at URL: realanalexch.34.2.0429
OpenAlex ID: W1482568056
DOI: 10.14321/REALANALEXCH.34.2.0429
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description: scientific article; zbMATH DE number 5652545