Statistical convergence of nets in Riesz spaces

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 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.

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References in corpus (1)

• Statistical convergence of nets through directed sets