A NEW LOOK AT THE CLASSICAL SEQUENCE SPACES BY USING MULTIPLICATIVE CALCULUS

The important point to be noted on the non-Newtonian calculus is a self-contained system independent of any other system of calculus. Therefore, the reader may be surprised to learn that there is a uniform relationship between the corresponding operators of this calculus and the classical calculus. In the present paper, some fundamental theorems and notions of the classical calculus are interpreted from the view point of multiplicative calculus and the analogies between them are given. We propose a concrete approach based on some topological properties with respect to the multiplicative calculus. Finally, we give *-completeness results on some sets of specific sequences.