An Extension in the Domain of an n-Norm Defined on the Space of p-Summable Sequences

In [6], we have already studied the space of p-summable sequences (i:e: l sup p /sup ) as an n-normed space by defining a new n-norm ... sub p /sub on it. In this paper, we shall extend the domain of the definition of n-norm ... sub p /sub from the space l sup p /sup to different vector subspaces of the vector space l sup ∞ /sup containing lp. Further, we shall discuss on their derived norms also.