Topological algebras of statistical τ-bounded operators on ordered topological vector spaces

2019/12/14 by Abdullah Aydın, Aydın, Abdullah, Muhammed Çınar +1
Mathematics · #Approximation Theory and Sequence Spaces #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Fuzzy Systems and Optimization

paper · pdf · doi:10.48550/arxiv.1912.06890

openalex publication_date 2019/12/14 · openalex created_date 2022/10/06 · openalex updated_date 2026/07/28

Abstract

In this paper, we introduce statistical bounded set on topological vector space. Also, we consider three classes of bounded operators from topological vector spaces to ordered topological vector spaces. Moreover, we give relations between them and order bounded operators. We give algebraic properties of these operators concerning to the uniform convergence topology.

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