A new regular infinite matrix defined by Jordan totient function and its matrix domain in <i>ℓ</i>_<i>p</i>

Abstract

In this paper, we first define a new regular matrix by using the arithmetic function called Jordan totient function and study the matrix domain of this newly introduced matrix in the Banach space ℓ p . After computing the dual spaces of this new space, we characterize certain matrix mappings related to this space.