D-Topological Duals of Bicomplex BC-Modules Lpk (BC)

Abstract

In this paper, we present the concept of D-topological dual of a BC-module X with a D-norm parallel to.parallel to(D,X) and we find D-topological duals of D-normed bicomplex BC-modules l(p)(k) (BC) for 1 <= p <= infinity. We also investigate some fundamental topological properties of bicomplex BC-modules l(p)(k) (BC) by defining some topological concepts such as solid space, monotone space, BK-space, symmetric space in the bicomplex setting by using the D-norm vertical bar.vertical bar(k).