The Brezis-Lieb lemma in convergence vector lattices

Authors: MOHAMMAD MARABEH

Abstract: Recently measure-free versions of the Brezis-Lieb lemma were proved for unbounded order convergence in vector lattices. In this article, we extend these versions to convergence vector lattices.

Keywords: Vector lattice, unbounded order convergence, almost order bounded set, Brezis-Lieb lemma, convergence vector space, convergence vector lattice

Full Text: PDF