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

• Datum: 2013
• Hauptverfasser: Bhardwaj, V. K., Gupta, S., Бхардвай, В. К., Гупта, С.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2013
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2497
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...