2019arXiv (Cornell University)Open access

Topological algebras of statistical $\tau$-bounded operators on ordered topological vector spaces.

Abdullah Aydın, Muhammed Çınar

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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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What this paper is about

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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Available 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.

Key concepts: Topological vector space, Bounded function, Topological tensor product, Topological algebra, Mathematics, Locally convex topological vector space, Topological space, Connected space

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