Matrix mappings and compact operators for Schröder sequence spaces

Authors: MUHAMMET CİHAT DAĞLI

Abstract: In this paper, we discuss the domain of a recently defined conservative matrix, constructed by means of the Schröder numbers in the spaces of $p-$absolutely summable sequences and bounded sequences. We determine the $\beta-$duals of the Banach spaces, introduced here, and present characterization of some matrix operators. Moreover, we give the characterization of certain compact operators via the Hausdorff measure of noncompactness.

Keywords: Schröder numbers, conservative matrix, sequence spaces, matrix transformations, compact operators

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