2021•arXiv (Cornell University)Open access
Reflexivity of linear n-normed space with respect to b-linear functional
Prasenjit Ghosh, T. K. 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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