  In this paper, we will see that the Cartesian product of two 2-Banach spaces
is also 2-Banach space and discuss some properties of closed linear operator in
linear 2-normed space. We also describe the concept of different types of
continuity of b-linear functional and derive the Uniform Boundedness Principle
and Hahn-Banach extension theorem for b-linear functionals in the case of
linear 2-normed spaces. We also introduce the notion of weak*convergence for
the sequence of bounded b-linear functionals relative to linear 2-normed space.
