STATISTICALLY p c-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 p c -bounded and statistically p c -dense sequence, and we introduce statistically p c -continuous and statistically p c -bounded operators. We also investigate some properties and examples of these concepts.