On Bicomplex BC-Modules LPk (BC) and Some of Their Geometric Properties

Abstract

In this paper, we examine the validity of bicomplex versions of some crucial inequalities with respect to the hyperbolic-valued norm | center dot |l(k) and we discuss some topological and geometric concepts such as completeness, convexity, strict convexity and uniform convexity in the bicomplex setting with respect to the hyperbolic-valued norm. parallel to parallel to(D) by defining the concept of parallel to parallel to(D)-normed Banach bicomplex A-module and constructing..-normed Banach bicomplex BC-modules l(p)(k) (BC).