Compact Operators on the Sets of Fractional Difference Sequences

Abstract

The sets of fractional difference sequences have been studied in the literature recently. In this work, some identities or estimates for the operator norms and the measure of noncompactness of certain operators on difference sets of sequences of fractional orders are established. Some classes of compact operators on those spaces are characterized.

Keywords

• measure of noncompactness,fractional operators,compact operator

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