2023/04/14 by Youssef Azouzi, Azouzi, Youssef · 1 citation
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topology and Set Theory
paper · pdf · doi:10.48550/arxiv.2304.07251
In this paper, we explore an abstraction of uniform integrability in vector lattices and demonstrate its application by providing a positive solution to an open question posed by Kuo, Rodda, and Watson. Specifically, we show that for finite p and with T as a conditionally expectation operator, spaces Lp are sequentially complete. Furthermore, we demonstrate that a de La Vallé Poussin Theorem does not hold in the general setting of vector lattices.