Geodesic
Convergence theorems for set-valued conditional expectations
Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 1, pp. 97-104.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

In this paper we prove two convergence theorems for set-valued conditional expectations. The first is a set-valued generalization of Levy's martingale convergence theorem, while the second involves a nonmonotone sequence of sub $\sigma $-fields.
Classification : 28B20, 60D05, 60F99, 60G48, 60G99
Keywords: measurable multifunction; set-valued conditional expectation; Levy's theorem; support function; Kuratowski-Mosco convergence of sets 
@article{CMUC_1993__34_1_a10,
     author = {Papageorgiou, Nikolaos S.},
     title = {Convergence theorems for set-valued conditional expectations},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {97--104},
     publisher = {mathdoc},
     volume = {34},
     number = {1},
     year = {1993},
     mrnumber = {1240208},
     zbl = {0788.60021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1993__34_1_a10/}
}
TY  - JOUR
AU  - Papageorgiou, Nikolaos S.
TI  - Convergence theorems for set-valued conditional expectations
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1993
SP  - 97
EP  - 104
VL  - 34
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_1993__34_1_a10/
LA  - en
ID  - CMUC_1993__34_1_a10
ER  - 
%0 Journal Article
%A Papageorgiou, Nikolaos S.
%T Convergence theorems for set-valued conditional expectations
%J Commentationes Mathematicae Universitatis Carolinae
%D 1993
%P 97-104
%V 34
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_1993__34_1_a10/
%G en
%F CMUC_1993__34_1_a10
Papageorgiou, Nikolaos S. Convergence theorems for set-valued conditional expectations. Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 1, pp. 97-104. http://geodesic.mathdoc.fr/item/CMUC_1993__34_1_a10/