APPLICATIONS OF INFINITE MATRICES IN NON-NEWTONIAN CALCULUS FOR PARANORMED SPACES AND THEIR TOEPLITZ DUALS

Abstract

The main purpose of this paper is to construct some difference sequencespaces over the geometric complex numbers for an infinite matrix and Museilak-Orliczfunction. We also make an effort to study some inclusion relations, topological andgeometric properties of these spaces. An endeavor has been made to prove that theseare Banach spaces. Furthermore, we compute the $\alpha$-, $\beta$-, $\gamma$-dual of these spaces