On bicomplex 픹ℂ-modules lp한(픹ℂ) and some of their geometric properties.

In this paper, we examine the validity of bicomplex versions of some crucial inequalities with respect to the hyperbolic-valued norm | ⋅ | 한 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 ∥ ⋅ ∥ 픻 , ⋅ by defining the concept of 픻 -normed Banach bicomplex A-module and constructing 픻 -normed Banach bicomplex 픹 ⁢ ℂ -modules l p 한 ⁢ (픹 ⁢ ℂ) . [ABSTRACT FROM AUTHOR]