Non-Newtonian Approach to C*-Algebras

Abstract

In this article, we study the non-Newtonian version of C*-algebras. Further, we generalize some results which hold for the classical C*-algebras. We also discuss some illustrative examples to show accuracy and effectiveness of the new findings. If we take the identity function I instead of the generators alpha and beta in the construction of the set C(N), then non-Newtonian C*-algebras turn into the classical C*-algebras, so our results are stronger than some knowledge and facts in the most existing literature.