arXiv subjects

Fatih Temizsu

Publications and source records attributed to Fatih Temizsu.

2 recordsLinked to original sources

arXiv2021

Statistical convergence of nets on locally solid Riesz spaces

The statistical convergence is handled for sequences with the natural density, in general. In a recent paper, the statistical convergence for nets in Riesz spaces has been studied and investigated by developing topology-free techniques in Riesz spaces. In this paper, we introduce the statistically topological convergence for nets on locally solid Riesz spaces with solid topologies. Moreover, we introduce the statistical continuity on locally solid Riesz spaces.

math.FA↗

arXiv2021

Statistical convergence of nets in Riesz spaces

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.

math.FA↗