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

Functional Analysis 2020-04-25 v1

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.

Keywords

Cite

@article{arxiv.1912.06890,
  title  = {Topological algebras of statistical $\tau$-bounded operators on ordered topological vector spaces},
  author = {Abdullah Aydın and Muhammed Çınar},
  journal= {arXiv preprint arXiv:1912.06890},
  year   = {2020}
}

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