On matrix transformations and Hausdorff measure of noncompactness of Euler difference sequence spaces of fractional order

Abstract

In the present paper, some results on matrix mappings and Hausdorff measure of noncompactness of certain generalized Euler difference sequence spaces of fractional order are discussed. Also, the Hausdorff measures of noncompactness of certain matrix operators that map an arbitrary BK-space into the classical sequence spaces are established. Furthermore, by using this measure, the characterization of some classes of Euler mean compact operators are determined in the BK-spaces.

Mathematics Subject Classification (2010): 46A45, 46A35, 46B45.