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.

DOI

10.3906/mat-1708-7

Keywords

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

First Page

1436

Last Page

1441

Recommended Citation

MARABEH, M (2018). The Brezis-Lieb lemma in convergence vector lattices. Turkish Journal of Mathematics 42 (3): 1436-1441. https://doi.org/10.3906/mat-1708-7

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