Banach Spaces Lp (Bc With the *-Norm (∥)double Over Dot . (∥)double Over Dot2,lp(Bc and Some Properties

Abstract

In this work, we construct vector spaces l(p) (BC(N)) of absolutely p- summable *-bicomplex sequences with the *-norm (parallel to)over double dot . (parallel to)over double dot(2,lp(BC(N))) over the field C(N). Also, we show that some inclusion relations hold and these vector spaces are Banach spaces by using Minkowski's inequality in BC(N) with respect to (parallel to)over double dot . (parallel to)over double dot(2).