Statistically multiplicative convergence on locally solid Riesz algebras

2020/04/23 by Abdullah Aydın, Aydın, Abdullah, Mikâil Et +1 · 1 citation
Decision Sciences · Mathematics · #10A05 #46A40 #46B42 #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Fuzzy and Soft Set Theory

paper · pdf · doi:10.48550/arxiv.2004.11454

openalex publication_date 2020/04/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we introduce the statistically multiplicative convergent sequences in locally solid Riesz algebras with respect to the algebra multiplication and the solid topology. We study on this concept and we give the notion of \mathbbst_m-bounded sequence, and also, we prove some relations between this convergence and the other convergences such as the order convergence and the statistical convergence in topological spaces. Also, we give some results related to semiprime f-algebras.

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• Statistical order convergence of operators on Riesz Spaces

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