A+ CATEGORY SCIENTIFIC UNIT

An exact functional Radon–Nikodym theorem for Daniell integrals

Volume 148 / 2001

E. de Amo, I. Chitescu, M. Díaz Carrillo Studia Mathematica 148 (2001), 97-110 MSC: 28B05, 26D15. DOI: 10.4064/sm148-2-1

Abstract

Given two positive Daniell integrals $I$ and $J$, with $J$ absolutely continuous with respect to $I$, we find sufficient conditions in order to obtain an exact Radon–Nikodym derivative $f$ of $J$ with respect to $ I$. The procedure of obtaining $f$ is constructive.

Authors

  • E. de AmoDepartamento de Álgebra y Análisis
    Matemático
    Universidad de Almería
    04120 Almería, Spain
    e-mail
  • I. ChitescuFaculty of Mathematics
    University of Bucharest
    Str. Academiei, 14
    Bucureşti, Romania
  • M. Díaz CarrilloDepartamento de Análisis Matemático
    Universidad de Granada
    18071 Granada, Spain
    e-mail

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