Characterization of general Radon integrals
type: Item
instance of: scholarly article
title: Characterization of general Radon integrals
zbMATH Open document ID: 1229.46032
DOI: 10.1134/S1064562410040290
published in: Doklady Mathematics
publication date: 2010-11-01T00:00:00Z
review text: This short paper begins with a good summary of known results on the characterization of integrals as linear functionals from the discovery of Riemann-Stieltjes integrals, through Radon's theorem for the space of all Lebesgue-Radon integrals on the space of continuous functions on a compact subspace of \(\mathbb R^n\), to the problem of extending Radon's theorem from \(\mathbb R^n\) to more general topological spaces with Radon measures. This last problem is called Riesz-Radon-Fréchet problem of characterization of integrals. The main theorem of the paper presents a solution to this last problem with suitable definitions which are too involved to quote here.
reviewed by: Srinivasa Swaminathan
Mathematics Subject Classification ID: 46G10
Mathematics Subject Classification ID: 46B22
Mathematics Subject Classification ID: 28B20
zbMATH DE Number: 5809136
zbMATH Keywords: Radon Integral
zbMATH Keywords: Lebesgue-Radon Integral
zbMATH Keywords: linear functionals
author: V. K. Zakharov
author: A. V. Mikhalev
author: Timofey V. Rodionov
MaRDI profile type: Publication
cites work: Q5509729
cites work: Concrete representation of abstract (M)-spaces. (A characterization of the space of continuous functions.)
full work available at URL: s1064562410040290
OpenAlex ID: W2058444098
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description: scientific article; zbMATH DE number 5809136