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

Voir la notice de l'article

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 
@article{10_4064_sm148_2_1,
     author = {E. de Amo and I. Chitescu and M. D{\'\i}az Carrillo},
     title = {An exact functional {Radon{\textendash}Nikodym} theorem
for {Daniell} integrals},
     journal = {Studia Mathematica},
     pages = {97--110},
     year = {2001},
     volume = {148},
     number = {2},
     doi = {10.4064/sm148-2-1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm148-2-1/}
}
TY  - JOUR
AU  - E. de Amo
AU  - I. Chitescu
AU  - M. Díaz Carrillo
TI  - An exact functional Radon–Nikodym theorem
for Daniell integrals
JO  - Studia Mathematica
PY  - 2001
SP  - 97
EP  - 110
VL  - 148
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm148-2-1/
DO  - 10.4064/sm148-2-1
LA  - en
ID  - 10_4064_sm148_2_1
ER  - 
%0 Journal Article
%A E. de Amo
%A I. Chitescu
%A M. Díaz Carrillo
%T An exact functional Radon–Nikodym theorem
for Daniell integrals
%J Studia Mathematica
%D 2001
%P 97-110
%V 148
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/sm148-2-1/
%R 10.4064/sm148-2-1
%G en
%F 10_4064_sm148_2_1
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

Cité par Sources :