Finite Dimensional Generating Spaces of Quasi-Norm Family

Document Type: Research Paper

Authors

1 Department of Mathematics, Visva-Bharati, Santiniketan-731235, West Ben- gal, India

2 Department of Mathematics, Visva-Bharati, Santiniketan-731235, West Bengal, India

Abstract

In this paper,~some results on finite dimensional generating spaces of quasi-norm family are established.~The idea of equivalent quasi-norm families is introduced.~Riesz lemma is established in this space.~Finally,~we re-define B-S fuzzy norm and prove that it induces a generating space of quasi-norm family.

Keywords


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