Characterization of the compact operators on the class ( bv, bv? k )

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Date

2019

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Maltepe Üniversitesi

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CC0 1.0 Universal
info:eu-repo/semantics/openAccess

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Abstract

The space bv, the set of all bounded variation sequences, has an important role in the summability theory. In recent study, this space has been extended to the space bv? k and some matrix class on this space has been characterized [2]. In the present paper, for 1 ? k < ?, computing Hausdorff measure of non-compactness, we characterize compact operators in the class ( bv, bv? k ) , where ? is a sequence of positive numbers.

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Keywords

Sequence spaces, Matrix transformations, bv? k spaces

Journal or Series

International Conference of Mathematical Sciences (ICMS 2019)

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Citation

Gökçe, F. ve Sarıgöl, M. A. (2019). Characterization of the compact operators on the class ( bv, bv? k ). International Conference of Mathematical Sciences (ICMS 2019). s. 67.