The Hausdorff measure of noncompactness of operators on the matrix domains of triangles in the spaces of strongly C1 summable and bounded sequences

摘要

In [2], [3], [7], the authors studied spaces of strongly C1 summable and bounded sequences and matrix domains of triangles in them. Here we will extend their results by characterizing compact matrix operators from those spaces into the spaces of null and convergent sequences, and by giving sufficient conditions for the compactness of the operators when the final space is the space of bounded sequences. This is achieved by determining or estimating the Hausdorff measure of noncompactness of such matrix operators.