MATRIX TRANSFORMATIONS IN SPACES OF BOUNDED AND CONVERGENT DIFFERENCE SEQUENCES OF ORDER m
- 1 March 1997
- journal article
- Published by Walter de Gruyter GmbH in Analysis
- Vol. 17 (1), 87-98
- https://doi.org/10.1524/anly.1997.17.1.87
Abstract
Summary:In this paper we investigate linear operators between arbitrary BK spaces $X$ and spaces $Y$ of sequences that are $(\bar{N},q)$ summable or bounded. We give necessary and sufficient conditions for infinite matrices $A$ to map $X$ into $Y$. Further, the Hausdorff measure of noncompactness is applied to give necessary and sufficient conditions for $A$ to be a compact operator