On the β-Dual of Banach-Space-Valued Difference Sequence Spaces

The main object of the paper is to introduce Banach-space-valued difference sequence spaces ℓ ∞(X, Δ), c(X, Δ); and c0(X, Δ) as a generalization of the well-known difference sequence spaces of Kizmaz. We obtain a set of sufficient conditions for (A k ) ∈ E β (X, Δ); where E ∈ {ℓ ∞, c, c 0} and (A...

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Bibliographic Details
Date:2013
Main Authors: Bhardwaj, V. K., Gupta, S., Бхардвай, В. К., Гупта, С.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2013
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2497
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal