Statistical convergence in vector lattices
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Karagandy University of the name of acad. E.A. Buketov
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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Citation
Aydın A. Statistical convergence in vector / A. Aydin, F. Temizsu // Bulletin of the Karaganda University. Mathematics series . – 2023. – № 3(111). – pp. 4-11.