Hausdorff measure of noncompactness of matrix mappings on Cesàro spaces

G. Canan Hazar Güleç; M. Ali Sarıgöl

doi:10.5269/bspm.40448

G. Canan Hazar Güleç Pamukkale University https://orcid.org/0000-0002-8825-5555
M. Ali Sarıgöl Pamukkale University

Résumé

In this study we establish some identities or estimates for operator norms and the Hausdorff measure of noncompactness of certain operators on spaces |C_{α}|_{k}, which have more recently been introduced in [14]. Further, by applying the Hausdorff measure of noncompactness, we establish the necessary and sufficient conditions for such operators to be compact and so the some well known results are generalized.

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