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Izvestiya: Mathematics, 2002, Volume 66, Issue 6, Pages 1087–1101
DOI: https://doi.org/10.1070/IM2002v066n06ABEH000407 (Mi im407) 		 
This article is cited in 7 scientific papers (total 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
English version PDF (226 kB) Citations (7)
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DOI: https://doi.org/10.1070/IM2002v066n06ABEH000407
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].
Received: 02.07.2001
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2002, Volume 66, Issue 6, Pages 3–18
DOI: https://doi.org/10.4213/im407
Bibliographic databases:
UDC: 517.981.1+517.518.1+517.982.3
MSC: 28A25, 28C05
Language: English
Original paper language: Russian
Citation: V. K. Zakharov, A. V. Mikhalev, “The problem of general Radon representation for an arbitrary Hausdorff space. II”, Izv. RAN. Ser. Mat., 66:6 (2002), 3–18; Izv. Math., 66:6 (2002), 1087–1101
Citation in format AMSBIB
\Bibitem{ZakMik02}
\by V.~K.~Zakharov, A.~V.~Mikhalev
\paper The problem of general Radon representation for an arbitrary Hausdorff space.~II
\jour Izv. RAN. Ser. Mat.
\yr 2002
\vol 66
\issue 6
\pages 3--18
\mathnet{http://mi.mathnet.ru/im407}
\crossref{https://doi.org/10.4213/im407}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1970350}
\zmath{https://zbmath.org/?q=an:1092.28009}
\transl
\jour Izv. Math.
\yr 2002
\vol 66
\issue 6
\pages 1087--1101
\crossref{https://doi.org/10.1070/IM2002v066n06ABEH000407}
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  • https://www.mathnet.ru/eng/im/v66/i6/p3
    Cycle of papers
    This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:542
    Russian version PDF:220
    English version PDF:33
    References:85
    First page:3
     
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