Geodesic
Generalized first class selectors for upper semi-continuous set-valued maps in Banach spaces
Czechoslovak Mathematical Journal, Tome 55 (2005) no. 1, pp. 145-155.

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

In this paper we deal with weakly upper semi-continuous set-valued maps, taking arbitrary non-empty values, from a non-metric domain to a Banach space. We obtain selectors having the point of continuity property relative to the norm topology for a large class of compact spaces as a domain. Exact conditions under which the selector is of the first Borel class are also investigated.
Classification : 46B22, 46B99, 47H04
Keywords: measurable selectors; upper semi-continuous maps; point of continuity property 
@article{CMJ_2005__55_1_a9,
     author = {Hansell, R. W. and Oncina, L.},
     title = {Generalized first class selectors for upper semi-continuous set-valued maps in {Banach} spaces},
     journal = {Czechoslovak Mathematical Journal},
     pages = {145--155},
     publisher = {mathdoc},
     volume = {55},
     number = {1},
     year = {2005},
     mrnumber = {2121662},
     zbl = {1081.46016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2005__55_1_a9/}
}
TY  - JOUR
AU  - Hansell, R. W.
AU  - Oncina, L.
TI  - Generalized first class selectors for upper semi-continuous set-valued maps in Banach spaces
JO  - Czechoslovak Mathematical Journal
PY  - 2005
SP  - 145
EP  - 155
VL  - 55
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMJ_2005__55_1_a9/
LA  - en
ID  - CMJ_2005__55_1_a9
ER  - 
%0 Journal Article
%A Hansell, R. W.
%A Oncina, L.
%T Generalized first class selectors for upper semi-continuous set-valued maps in Banach spaces
%J Czechoslovak Mathematical Journal
%D 2005
%P 145-155
%V 55
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMJ_2005__55_1_a9/
%G en
%F CMJ_2005__55_1_a9
Hansell, R. W.; Oncina, L. Generalized first class selectors for upper semi-continuous set-valued maps in Banach spaces. Czechoslovak Mathematical Journal, Tome 55 (2005) no. 1, pp. 145-155. http://geodesic.mathdoc.fr/item/CMJ_2005__55_1_a9/