Infinite Matrices and Almost Convergence

Abstract

In the present paper, we characterize $\left( {r^q(u,p):\,f_\infty } \right)$, $\left( {r^q(u,p):\,f } \right)$ and  $\left( {r^q(u,p):\,f_0 } \right)$; where $f_{\infty},~f$ and $f_0$ denotes, respectively, the spaces of almost bounded sequences, almost convergent sequences and almost sequences converging to zero, where the space $r^q(u,p)$ of non-absolute type have recently been introduced by Neyaz and Hamid (see, [12]).