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arXiv · 2101.09661

Reflexivity of linear n-normed space with respect to b-linear functional

Prasenjit Ghosh·Tapas Kumar Samanta
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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.

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Prasenjit Ghosh, Tapas Kumar Samanta. 2021-01-24. Reflexivity of linear n-normed space with respect to b-linear functional. https://arxiv.org/abs/2101.09661

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