On $\beta-$topological vector spaces

Subject Areas : Functional analysis

S. Sharma ¹ , M. Ram ²

1 - Department of Mathematics, University of Jammu, JK-18006, India
2 - Department of Mathematics, University of Jammu, JK-18006, India.

Received: 2018-09-01 Accepted : 2018-11-10 Published : 2019-02-01

Keywords: $beta-$open sets, $beta-$closed sets, $beta-$topological vector spaces,

Abstract :

We introduce and study a new class of spaces, namely $\beta-$topological vector spaces via $\beta-$open sets. The relationships among these spaces with some existing spaces are investigated. In addition, some important and useful characterizations of $\beta-$topological vector spaces are provided.

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