Journals / Turkish Journal of Mathematics / 2015 / Cilt: 39 - Sayı: 6

On the block sequence space $l_p(E)$ and related matrix transformations

Pages
830–841
DOI
—

Abstract

The purpose of the present study is to introduce the sequence space $$l_p(E)=\left\{ x=(x_n)_{n=1}^{\infty}\;:\; \sum_{n=1}^{\infty} \left|\sum_{j\in E_n}x_j\right|^p

Özet

The purpose of the present study is to introduce the sequence space $$l_p(E)=\left\{ x=(x_n)_{n=1}^{\infty}\;:\; \sum_{n=1}^{\infty} \left|\sum_{j\in E_n}x_j\right|^p

Keywords: Sequence spaces, matrix domains, $\alpha$- and $\beta$-duals, matrix transformations