Geodesic
The intersection convolution of relations and the Hahn-Banach type theorems
Annales Polonici Mathematici, Tome 69 (1998) no. 3, pp. 235-249.

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

By introducing the intersection convolution of relations, we prove a natural generalization of an extension theorem of B. Rodrí guez-Salinas and L. Bou on linear selections which is already a substantial generalization of the classical Hahn-Banach theorems. In particular, we give a simple neccesary and sufficient condition in terms of the intersection convolution of a homogeneous relation and its partial linear selections in order that every partial linear selection of this relation can have an extension to a total linear selection.
DOI : 10.4064/ap-69-3-235-249
Keywords: intersection convolution, additive and homogeneous relations, linear selections, binary intersection property, Hahn-Banach theorems

Árpád Száz 1

1 
@article{10_4064_ap_69_3_235_249,
     author = {\'Arp\'ad Sz\'az},
     title = {The intersection convolution of relations and the {Hahn-Banach} type theorems},
     journal = {Annales Polonici Mathematici},
     pages = {235--249},
     publisher = {mathdoc},
     volume = {69},
     number = {3},
     year = {1998},
     doi = {10.4064/ap-69-3-235-249},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-69-3-235-249/}
}
TY  - JOUR
AU  - Árpád Száz
TI  - The intersection convolution of relations and the Hahn-Banach type theorems
JO  - Annales Polonici Mathematici
PY  - 1998
SP  - 235
EP  - 249
VL  - 69
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap-69-3-235-249/
DO  - 10.4064/ap-69-3-235-249
LA  - en
ID  - 10_4064_ap_69_3_235_249
ER  - 
%0 Journal Article
%A Árpád Száz
%T The intersection convolution of relations and the Hahn-Banach type theorems
%J Annales Polonici Mathematici
%D 1998
%P 235-249
%V 69
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap-69-3-235-249/
%R 10.4064/ap-69-3-235-249
%G en
%F 10_4064_ap_69_3_235_249
Árpád Száz. The intersection convolution of relations and the Hahn-Banach type theorems. Annales Polonici Mathematici, Tome 69 (1998) no. 3, pp. 235-249. doi : 10.4064/ap-69-3-235-249. http://geodesic.mathdoc.fr/articles/10.4064/ap-69-3-235-249/

Cité par Sources :