Measure of noncompactness of matrix operators on some difference sequence spaces of weighted means
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Tarih
2011
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
For a sequence x=(xk), we denote the difference sequence by ?x=(xk-xk-1). Let u=(uk)k=0? and v=(vk)k=0? be the sequences of real numbers such that uk?0, vk?0 for all k?N. The difference sequence spaces of weighted means ?(u,v,?) are defined as ?(u,v,?)=x=(xk):W(x)??, where ?= c,c0 and ?? and the matrix W=(wnk) is defined by wnk=un(vk-vk+1);(k<n) ,unvn;(k=n),0;(k>n). In this paper, we establish some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on ?(u,v,?). Further, we characterize some classes of compact operators on these spaces by using the Hausdorff measure of noncompactness. © 2011 Elsevier Ltd. All rights reserved.
Açıklama
Anahtar Kelimeler
Compact operator, Hausdorff measure of noncompactness, Matrix transformation, Sequence space, Weighted mean
Kaynak
Computers and Mathematics with Applications
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
62
Sayı
2
