Statistical convergence and statistical continuity on locally solid Riesz spaces

摘要

In this work, we introduce the concepts of statistical τ-convergence, statistically τ-Cauchy sequence and statistically τ-bounded sequence in a locally solid Riesz space endowed with the topology τ, and investigate some properties of these concepts. We also examine the statistical τ-continuity of a mapping defined on a locally solid Riesz space.