  The concept of b-linear functional and its different types of continuity in
linear n-normed space are presented and some of their properties are being
established. We derive the Uniform Boundedness Principle and Hahn-Banach
extension Theorem with the help of bounded b-linear functionals in the case of
linear n-normed spaces and discuss some examples and applications. Finally, we
present the concept of weak*convergence for the sequence of bounded b-linear
functionals in linear n-normed space.
