Geodesic
On the Characterization of Locally L0-Convex Topologies Induced by a Family of L0-Seminorms
Journal of convex analysis, Tome 24 (2017) no. 2, pp. 383-391
Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

The purpose of this paper is to provide a characterization of locally L0-convex modules induced by a family of L0-seminorms using the gauge function for L0-modules and discussing the notion of countable concatenation. Taking advantage of these ideas we will give a counterexample of a locally L0-convex topology not induced by any family of L0-seminorms.
Mots-clés : L0-modules, locally L0-convex modules, gauge function, countable concatenation, countable concatenation closure 
@article{JCA_2017_24_2_JCA_2017_24_2_a2,
     author = {J. M. Zapata},
     title = {On the {Characterization} of {Locally} {L\protect\textsuperscript{0}-Convex} {Topologies} {Induced} by a {Family} of {L\protect\textsuperscript{0}-Seminorms}},
     journal = {Journal of convex analysis},
     pages = {383--391},
     year = {2017},
     volume = {24},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_2017_24_2_JCA_2017_24_2_a2/}
}
TY  - JOUR
AU  - J. M. Zapata
TI  - On the Characterization of Locally L0-Convex Topologies Induced by a Family of L0-Seminorms
JO  - Journal of convex analysis
PY  - 2017
SP  - 383
EP  - 391
VL  - 24
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/JCA_2017_24_2_JCA_2017_24_2_a2/
ID  - JCA_2017_24_2_JCA_2017_24_2_a2
ER  - 
%0 Journal Article
%A J. M. Zapata
%T On the Characterization of Locally L0-Convex Topologies Induced by a Family of L0-Seminorms
%J Journal of convex analysis
%D 2017
%P 383-391
%V 24
%N 2
%U http://geodesic.mathdoc.fr/item/JCA_2017_24_2_JCA_2017_24_2_a2/
%F JCA_2017_24_2_JCA_2017_24_2_a2
J. M. Zapata. On the Characterization of Locally L0-Convex Topologies Induced by a Family of L0-Seminorms. Journal of convex analysis, Tome 24 (2017) no. 2, pp. 383-391. http://geodesic.mathdoc.fr/item/JCA_2017_24_2_JCA_2017_24_2_a2/