Bicomplex Version of Matrix Transformations Between \(c_{0}^{k}\left( \mathbb{B}\mathbb{C}\right)\) and \(c^{k}\left( \mathbb{B}\mathbb{C} \right)\) by Using the Hyperbolic-Valued Norm

Abstract

This paper presents the characterizations of bicomplex matrix transformations between \(c_{0}^{k}\left( \mathbb{B}\mathbb{C}\right)\) and \(c^{k}\left( \mathbb{B}\mathbb{C}\right)\) generalizing several conclusions from complex version of these matrices. Moreover, we define and demonstrate their bicomplex counterparts utilizing the Silverman-Toeplitz and Kojima-Schur theorems.