Randomized Versions of the Mazur Lemma and the Krein–Smulian Theorem

José M. Zapata

Abstract

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.

Author information

Contact details are reproduced from the original publication and may be historical.

José M. Zapata

Dpto. Matemáticas, Universidad de Murcia, 30100 Espinardo–Murcia, Spain

jmzg1@um.es

Keywords

Locally L0-convex module
stability properties
Mazur lemma
Krein-Smulian theorem

Mathematics Subject Classification

46H25, 47H40, 52A41, 91B30, 91B70

Suggested citation

J. M. Zapata. “Randomized Versions of the Mazur Lemma and the Krein–Smulian Theorem.” Journal of Convex Analysis 25 (2018), No. 3, 939–956.