Geodesic
Positive Sets and Monotone Sets
Journal of convex analysis, Tome 14 (2007) no. 2, pp. 297-317 Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

We show how convex analysis can be applied to the theory of sets that are "positive" with respect to a continuous quadratic form on a Banach space. Monotone sets can be considered as a special case of positive sets, and we show how our results lead to very efficient proofs of a number of results on monotone sets. One of the key techniques that we use is a generalization of the Fitzpatrick function from monotone set theory to an analogous function for positive sets. 
@article{JCA_2007_14_2_JCA_2007_14_2_a5,
     author = {S. Simons},
     title = {Positive {Sets} and {Monotone} {Sets}},
     journal = {Journal of convex analysis},
     pages = {297--317},
     year = {2007},
     volume = {14},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_2007_14_2_JCA_2007_14_2_a5/}
}
TY  - JOUR
AU  - S. Simons
TI  - Positive Sets and Monotone Sets
JO  - Journal of convex analysis
PY  - 2007
SP  - 297
EP  - 317
VL  - 14
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/JCA_2007_14_2_JCA_2007_14_2_a5/
ID  - JCA_2007_14_2_JCA_2007_14_2_a5
ER  - 
%0 Journal Article
%A S. Simons
%T Positive Sets and Monotone Sets
%J Journal of convex analysis
%D 2007
%P 297-317
%V 14
%N 2
%U http://geodesic.mathdoc.fr/item/JCA_2007_14_2_JCA_2007_14_2_a5/
%F JCA_2007_14_2_JCA_2007_14_2_a5
S. Simons. Positive Sets and Monotone Sets. Journal of convex analysis, Tome 14 (2007) no. 2, pp. 297-317. http://geodesic.mathdoc.fr/item/JCA_2007_14_2_JCA_2007_14_2_a5/