A Note On The Series Space |N ̅_p^θ |(μ)

Abstract

The series space $\left\vert \bar{N}_{p}^{\theta }\right\vert\left( \mu \right) $ has recently been introduced and studied by Gökçe and Sarıgöl [1]. The main purpose of this paper is to determine the $\alpha-$, $\beta-$ and $\gamma$_duals of the space and to show that it is linearly isomorphic to the Maddox’s space $l(\mu)$.