Statistical convergence in vector lattices

A. Aydın; F. Temizsu

doi:10.31489/2023m3/4-10

Statistical convergence in vector lattices

Authors

A. Aydın
F. Temizsu

DOI:

https://doi.org/10.31489/2023m3/4-10

Keywords:

statistical convergence of nets, order convergence, vector lattice, directed set measure

Abstract

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 in vector lattices by using the finite additive measures on directed sets. Moreover, we give some relations between the statistical convergence and the lattice properties such as the order convergence and lattice operators.

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Published

2023-09-30

How to Cite

Aydın, A., & Temizsu, F. (2023). Statistical convergence in vector lattices. Bulletin of the Karaganda University. Mathematics Series, 111(3), 4–10. https://doi.org/10.31489/2023m3/4-10