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Some notes on matrix mappings and their Hausdorff measure of noncompactness

Some notes on matrix mappings and their Hausdorff measure of noncompactness

We consider the sequence spaces s0?(?B), s(c)? (?B) and s?(?B) with their topological properties, and give the characterizations of the classes of matrix transformations from them into any of the spaces ?1, ?1, c0 and c. We also establish some estimates for the norms of bounded linear operators defined by …