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.
"The Brezis-Lieb lemma in convergence vector lattices,"
Turkish Journal of Mathematics: Vol. 42:
3, Article 54.
Available at: https://journals.tubitak.gov.tr/math/vol42/iss3/54