Super quasi-topological and paratopological vector spaces versus topological vector spaces

• Madhu Ram Department of Mathematics University of Jammu Jammu-180006, Jammu & Kashmir, India. https://orcid.org/0000-0001-6583-0978
• Bijan Davvaz Department of Mathematics Yazd University Iran.

Keywords: Topological vector space, paratopological vector space, quasi- topological vector space, super quasi-topological vector space, quotient space

Abstract

In this paper, we introduce the idea of super quasi-topological vector space which is an extension of the concept of topological vector space and investigate some of its basic properties. We extend the existing notion of quasi-topological vector space to all complex vector spaces and investigate the relationship of super quasi-topological vector spaces with paratopological and quasi-topological vector spaces.

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