REFLEXIVITY OF LINEAR n-NORMED SPACE WITH RESPECT TO b-LINEAR FUNCTIONAL.

In this paper, we discuss various consequences of Hahn-Banach theorem for bounded b-linear functional in linear n-normed space and describe the notion of reexivity 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. [ABSTRACT FROM AUTHOR]