TITLE:
On Almost β-Topological Vector Spaces
AUTHORS:
Shallu Sharma, Sahil Billawria, Madhu Ram, Tsering Landol
KEYWORDS:
β-Open Sets, δ-Open Sets, Regular-Open Sets, Almost β-Topological Vector Spaces
JOURNAL NAME:
Open Access Library Journal,
Vol.6 No.5,
May
29,
2019
ABSTRACT: In this paper, we have introduced a new generalized form of topological vector spaces, namely, almost β-topological vector spaces by using the concept of β-open sets. We have also presented some examples and counterexamples of almost β-topological vector spaces and determined its relationship with topological vector spaces. Some properties of β-topological vector spaces are also characterized.