Geodesic
Randomized Versions of the Mazur Lemma and the Krein–Smulian Theorem
Journal of convex analysis, Tome 25 (2018) no. 3, pp. 939-956
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We extend to the framework of locally L0-convex modules some results from the classical convex analysis. Namely, randomized versions of the Mazur lemma and the Krein-Smulian theorem under mild stability properties are provided.
Classification : 46H25, 47H40, 52A41, 91B30, 91B70
Mots-clés : Locally L0-convex module, stability properties, Mazur lemma, Krein-Smulian theorem 
@article{JCA_2018_25_3_JCA_2018_25_3_a11,
     author = {J. M. Zapata},
     title = {Randomized {Versions} of the {Mazur} {Lemma} and the {Krein–Smulian} {Theorem}},
     journal = {Journal of convex analysis},
     pages = {939--956},
     year = {2018},
     volume = {25},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JCA_2018_25_3_JCA_2018_25_3_a11/}
}
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J. M. Zapata. Randomized Versions of the Mazur Lemma and the Krein–Smulian Theorem. Journal of convex analysis, Tome 25 (2018) no. 3, pp. 939-956. http://geodesic.mathdoc.fr/item/JCA_2018_25_3_JCA_2018_25_3_a11/