Matrix Operators on the Absolute Euler space leftvertErphirightvert(mu)

Abstract

In recent paper, the space $ leftvert E_{phi}^{r}rightvert (mu)$ which is the generalization of the absolute Euler Space on the space $l(mu)$, has been introduced and studied by Gökçe and Sarıgöl [3]. In this study, we give certain characterizations of matrix transformations from the paranormed space $ leftvert E_{phi}^{r}rightvert (mu)$ to one of the classical sequence spaces $c_{0},c,l_{infty }.$ Also, we show that such matrix operators are bounded linear operators.