On strong summability and convergence
Copyright policy )On strong summability and convergence
We give a survey of the recent results concerning the fundamental topological properties of spaces of stronly summable and convergent sequences, their ?- and continuous duals, and the characterizations of classes of linear operators between them. Furthermore we demonstrate how the Hausdorff measure of noncompactness can be used in the characterization of classes of compact operators between the spaces of strongly summable and bounded sequences.
strong convergence, strong summability, \(BK\) spaces, matrix transformations, Sequence spaces (including Köthe sequence spaces), Functional analytic methods in summability, Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.), measures of noncompactness, compact operators
strong convergence, strong summability, \(BK\) spaces, matrix transformations, Sequence spaces (including Köthe sequence spaces), Functional analytic methods in summability, Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.), measures of noncompactness, compact operators
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