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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. RAN. Ser. Mat., 2002 Volume 66, Issue 6, Pages 3–18 (Mi im407)

This article is cited in 7 papers

The problem of general Radon representation for an arbitrary Hausdorff space. II

V. K. Zakharov, A. V. Mikhalev

Centre for New Information Technologies, Moscow State University

Abstract: The problem of general Radon representation is as follows. Given a Hausdorff topological space, find the space of linear functionals that are representable as integrals over all Radon measures. One of the possible solutions of this problem was obtained in Part I of this paper (see [39]). In Part II we establish that the classical theorems of Riesz–Radon and Prokhorov are corollaries of the theorem on general integral Radon representation proved in [39].

UDC: 517.981.1+517.518.1+517.982.3

MSC: 28A25, 28C05

Received: 02.07.2001

DOI: 10.4213/im407


 English version:
Izvestiya: Mathematics, 2002, 66:6, 1087–1101

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