The binomial almost convergent and null sequence spaces

Abstract

In this paper, we introduce the sequence spaces f(Br;s), f0(Br;s) and fs(Br;s) which generalize the Kiri¸sÁiís work [16]. Moreover, we show that these spaces are BK-spaces and are linearly isomorphic to the sequence spaces f, f0 and fs, respectively. Furthermore, we mention the Schauder basis and give , -duals of these spaces. Finally, we determine some matrix classes related to these spaces.