Author/Authors :
Kundu, Anirban Department of Mathematics - Siksha‑Bhavana - Visva- Bharati, Santiniketan, Birbhum, India , Bag, T Department of Mathematics - Siksha‑Bhavana - Visva- Bharati, Santiniketan, Birbhum, India , Nazmul, Sk Department of Mathematics - Bankura University - Bankura, India
Abstract :
In this present work, the topological structure of 2-normed spaces is studied from the viewpoint of topological vector spaces. A separating family of seminorms is induced from a given 2-norm, and the criteria for metrizability and normability of 2-normed spaces are investigated using this family. A sufficient condition for metrizability and a necessary and sufficient condition for normability of 2-normed spaces are deduced during this investigation.
