2021/05/18 by Abdullah Aydın, Aydın, Abdullah, Fatih Temizsu +1
Mathematics · #40A05 #40D25 #46A40 #46B42 #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Mathematical Approximation and Integration
paper · pdf · doi:10.48550/arxiv.2105.08420
openalex publication_date 2021/05/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The statistical convergence is defined for sequences with the asymptotic density on the natural numbers, in general. In this paper, we introduce the statistical convergence for nets in Riesz spaces by using the finite additive measures on directed sets. Moreover, we give some relations among the statistical convergence and the lattice properties such as the order convergence and lattice operators.