Reflexivity of linear n-normed space with respect to b-linear functional
Functional Analysis
2024-10-29 v1
Abstract
In continuation of the paper [3], we discuss various consequences of Hahn-Banach theorem for bounded b-linear functional in linear n-normed space and describe the notion of reflexivity of linear n-normed space with respect to bounded b-linear functional. The concepts of strong convergence and weak convergence of a sequence of vectors with respect to bounded b-linear functionals in linear n-normed space have been introduced and some of their properties are being discussed.
Keywords
Cite
@article{arxiv.2101.09661,
title = {Reflexivity of linear n-normed space with respect to b-linear functional},
author = {Prasenjit Ghosh and Tapas Kumar Samanta},
journal= {arXiv preprint arXiv:2101.09661},
year = {2024}
}
Comments
15 pages. arXiv admin note: text overlap with arXiv:2101.04555