The Measure of Noncompactness of Matrix Transformations on the Spaces $c^p(\lambda)$ and $c^p_{\infty}(\lambda)$ ($1


Ivana StanojeviŠ


We study linear operators between certain sequence spaces X and Y when X is $C^{p}(\Lambda)$ or $C^{p}_{\infty}(\Lambda)$ and Y is one of the spaces: $c$, $c_{0}$, $l_{\infty}$, $c(\mu)$, $c_{0}(\mu)$, $c_{\infty}(\mu)$, that is, we give necessary and sufficient conditions for A to map X into Y and after that necessary and sufficient conditions for A to be a compact operator. These last conditions are obtained by means of the Hausdorff measure of noncompactness and given in the form of conditions for the entries of an infinite matrix A.