On the Generalized B-m-Riesz Difference Sequence Space and beta-Property
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Dosyalar
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer International Publishing Ag
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
We introduce the generalized Riesz difference sequence space r(q)(p, B-m) which is defined by r(q)(p, B-m) = {x = (x(k)) is an element of w : B(m)x is an element of r(q)(p)} where r(q)(p) is the Riesz sequence space defined by Altay and Basar. We give some topological properties, compute the alpha_, beta_ duals, and determine the Schauder basis of this space. Finally; we study the characterization of some matrix mappings on this sequence space. At the end of the paper, we investigate some geometric properties of r(q)(p, B-m) and we have proved that this sequence space has property (beta) for p(k) >= 1. Copyright (C) 2009 M. Basarir and M. Kayikci.
Açıklama
Basarir, Metin/0000-0002-4341-4399
WOS: 000270606300001
WOS: 000270606300001
Anahtar Kelimeler
Kaynak
Journal Of Inequalities And Applications
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
