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

Aydin, Abdullah and Eroğlu, Hatice Ünlü (2024) Statistically pτ-convergence in lattice-normed locally solid Riesz spaces. Miskolc Mathematical Notes, 25 (1). pp. 127-139. ISSN 1787-2413

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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.

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