Statistical unbounded convergence in Banach lattices

2019/03/26 by Zhangjun Wang, Wang, Zhangjun, Zili Chen +3
Mathematics · Decision Sciences · #Approximation Theory and Sequence Spaces #Advanced Banach Space Theory #Fuzzy and Soft Set Theory

paper · pdf · doi:10.48550/arxiv.1903.10734

Abstract

Several recent papers investigated unbounded and statistical versions of order convergence and topology convergence in locally solid Riesz space. In this papers, we study the statistical unbounded order and topology convergence in Riesz spaces and Banach lattices. In particular, we study the relationship of those convergence and characterize order continuous, KB, reflexive Banach lattices in terms of these convergence.

Related

• Statistical order convergence of operators on Riesz Spaces
• Statistically unbounded p-convergence in lattice-normed Riesz spaces
• The statistically unbounded τ-convergence on locally solid Riesz spaces
• Statistical p-convergence in lattice-normed Riesz spaces
• Unbounded absolute weak convergence in Banach lattices