Affiliation:
1. PAMUKKALE ÜNİVERSİTESİ
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.
Publisher
Turkish Journal of Mathematics and Computer Science, Association of Mathematicians
Reference15 articles.
1. FLett, T.M., On an extension of absolute summability and some theorems of Littlewood and Paley, Proc. Lond. Math. Soc., 7 (1957), 113-141.
2. Gökçe, F., Compact and Matrix Operators on the Space $ \left\vert \bar N^{\phi }_p\right\vert _k$, Fundamental Journal of Mathematics and Applications, 4(2)(2021), 124-133.
3. Gökçe, F., Sarıgöl, M.A., On absolute Euler spaces and related matrix operators, Proc. Nat. Acad. Sci. India Sect., A 90(5)(2020), 769-775.
4. Gökçe, F., Sarıgöl, M.A., Generalization of the space l(p) derived by absolute Euler summability and matrix operators, Inequal. Appl., 2018(2018), 133.
5. Gökçe, F., Sarıgöl, M.A., A new series space $ \left\vert \bar N^{\theta }_p\right\vert (\mu)$ and matrix transformations with applications, Kuwait J. Sci., 45(4)(2018), 1-8.