Applications of measure of noncompactness in operators on the spaces sα, sα0, sα (c), ℓαp
B de Malafosse, V Rakočević - Journal of Mathematical Analysis and …, 2006 - Elsevier
B de Malafosse, V Rakočević
Journal of Mathematical Analysis and Applications, 2006•ElsevierIn this paper, we characterize some operators and matrix transformations in the sequence
spaces sα, sα0, sα (c), ℓαp. Moreover, using the Hausdorff measure of noncompactness
necessary and sufficient conditions are formulated for a linear operator between the
mentioned spaces to be compact. Among other things, some results of Cohen and Dunford
are recovered.
spaces sα, sα0, sα (c), ℓαp. Moreover, using the Hausdorff measure of noncompactness
necessary and sufficient conditions are formulated for a linear operator between the
mentioned spaces to be compact. Among other things, some results of Cohen and Dunford
are recovered.
In this paper, we characterize some operators and matrix transformations in the sequence spaces sα,sα0,sα(c),ℓαp. Moreover, using the Hausdorff measure of noncompactness necessary and sufficient conditions are formulated for a linear operator between the mentioned spaces to be compact. Among other things, some results of Cohen and Dunford are recovered.
Elsevier