CHARACTERIZATIONS OF COMPACT OPERATORS ON SOME EULER SPACES OF DIFFERENCE SEQUENCES OF ORDER m

摘要

In the past,several authors studied spaces of m-th order difference sequences,among them,H.Polat and F.Basar ([17]) defined the Euler spaces of m-th order difference sequences er0(△(m)),erc(△(m)) and er∞(△Cm)) and characterized some classes of matrix transformations on them.In our paper,we add a new supplementary aspect to their research by characterizing classes of compact operators on those spaces.For that purpose,the spaces are treated as the matrix domains of a triangle in the classical sequence spaces co,c and (t)∞.The main tool for our characterizations is the Hausdorff measure of noncompactness.