Infinite Matrices and Almost Convergence

Abdul Hamid Ganie, Neyaz Ahmad Sheikh


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]).

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