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

Abdullah Aydin; Hatice Ünlü Eroğlu;


In this paper, we introduce the concepts 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.

Vol. 25 (2024), No. 1, pp. 127-139

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