On I- Convergent Sequence Spaces Defined By Jordan Totient Operator

Abstract

In this paper, our aim is to define some new sequence spaces   $c^{I}_{0}(\Upsilon^{r})$, $c^{I}(\Upsilon^{r})$ and $\ell^{I}_{\infty}(\Upsilon^{r})$   as a domain of triangular Jordan totient matrix and study some of its algebraic and topological  properties. Further, we discuss some inclusion relations regarding these said sequence spaces.\\