Applications of Measure of Noncompactness in Matrix Operators on Some Sequence Spaces

M. Mursaleen and A. Latif

Abstract and Applied Analysis, 2012, vol. 2012, 1-10

Abstract:

We determine the conditions for some matrix transformations from , where the sequence space , which is related to the spaces, was introduced by Sargent (1960). We also obtain estimates for the norms of the bounded linear operators defined by these matrix transformations and find conditions to obtain the corresponding subclasses of compact matrix operators by using the Hausdorff measure of noncompactness.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:378250

DOI: 10.1155/2012/378250

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