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Characterization of general Radon integrals

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Publication:600761
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DOI10.1134/S1064562410040290zbMath1229.46032OpenAlexW2058444098MaRDI QIDQ600761

Alexander V. Mikhalev, Timofey V. Rodionov, Valeriy K. Zakharov

Publication date: 1 November 2010

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562410040290


zbMATH Keywords

linear functionalsLebesgue-Radon IntegralRadon Integral


Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Vector-valued measures and integration (46G10) Radon-Nikodým, Kre?n-Milman and related properties (46B22)


Related Items (4)

Descriptive spaces and proper classes of functions ⋮ Characterization of Radon integrals as linear functionals ⋮ Characterization of integrals with respect to arbitrary Radon measures by the boundedness indices ⋮ Postclassical families of functions proper to descriptive and prescriptive spaces



Cites Work

  • Concrete representation of abstract (M)-spaces. (A characterization of the space of continuous functions.)
  • Unnamed Item




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