paper

The Banach-Saks property from a locally solid vector lattice point of view

arXiv:2010.13377

Abstract

The aim of this note is to consider different notions for the Banach-Saks property in locally solid vector lattices as an extension for the known concepts of the Banach-Saks property in Banach lattices. We investigate relations between them; in particular, we shall characterize spaces in which, these notions agree.

6 Pages