Statistically pτ-convergence in lattice-normed locally solid Riesz spaces

Abstract

In this paper, we introduce the concept of the statistical convergence with respect to solid topology and Riesz valued norms on lattice-normed locally solid Riesz spaces. Moreover, we give the notions of statistically pτ-bounded and statistically pτ-dense sequence, and we introduce statistically pτ-continuous and statistically pτ-bounded operators. We also investigate some properties and examples of these concepts.