Geodesic
Positive Sets and Monotone Sets
Journal of convex analysis, Tome 14 (2007) no. 2, pp. 297-317.

Voir la notice de l'article provenant de la source Heldermann Verlag

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},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {2007},
     url = {https://geodesic-test.mathdoc.fr/item/JCA_2007_14_2_JCA_2007_14_2_a5/}
}
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S. Simons. Positive Sets and Monotone Sets. Journal of convex analysis, Tome 14 (2007) no. 2, pp. 297-317. https://geodesic-test.mathdoc.fr/item/JCA_2007_14_2_JCA_2007_14_2_a5/