English

A random version of Mazur's lemma

Functional Analysis 2016-04-14 v5

Abstract

The purpose of this paper is to generalize the classical Mazur's lemma from the classical convex analysis to the framework of locally L0L^0-convex modules. In this version an extra condition of countable concatenation is included. We provide a counterexample showing that this condition cannot be removed.

Keywords

Cite

@article{arxiv.1409.7932,
  title  = {A random version of Mazur's lemma},
  author = {José Miguel Zapata-García},
  journal= {arXiv preprint arXiv:1409.7932},
  year   = {2016}
}
R2 v1 2026-06-22T06:07:47.609Z