Matrix Operators on the Absolute Euler space $\left\vert E_{\phi }^{r}\right\vert (\mu)$

Year 2022, Volume: 14 Issue: 1, 117 - 123, 30.06.2022

Fadime Gökçe

https://doi.org/10.47000/tjmcs.1007885

Abstract

In recent paper, the space $ \left\vert E_{\phi}^{r}\right\vert (\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 $ \left\vert E_{\phi}^{r}\right\vert (\mu)$ to one of the classical sequence spaces $c_{0},c,l_{\infty }.$ Also, we show that such matrix operators are bounded linear operators.

Keywords

Euler means, absolute summability, matrix transformations

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