Geodesic
An exact functional Radon–Nikodym theorem for Daniell integrals
E. de Amo1 ; I. Chitescu2 ; M. Díaz Carrillo3
1 Departamento de Álgebra y Análisis Matemático Universidad de Almería 04120 Almería, Spain
2 Faculty of Mathematics University of Bucharest Str. Academiei, 14 Bucureşti, Romania
3 Departamento de Análisis Matemático Universidad de Granada 18071 Granada, Spain
Studia Mathematica, Tome 148 (2001) no. 2, pp. 97-110

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm148-2-1
Keywords: given positive daniell integrals absolutely continuous respect sufficient conditions order obtain exact radon nikodym derivative respect procedure obtaining constructive

E. de Amo 1 ; I. Chitescu 2 ; M. Díaz Carrillo 3

1 Departamento de Álgebra y Análisis Matemático Universidad de Almería 04120 Almería, Spain
2 Faculty of Mathematics University of Bucharest Str. Academiei, 14 Bucureşti, Romania
3 Departamento de Análisis Matemático Universidad de Granada 18071 Granada, Spain 
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     title = {An exact functional {Radon{\textendash}Nikodym} theorem
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E. de Amo; I. Chitescu; M. Díaz Carrillo. An exact functional Radon–Nikodym theorem
for Daniell integrals. Studia Mathematica, Tome 148 (2001) no. 2, pp. 97-110. doi: 10.4064/sm148-2-1

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