Sufficient conditions for factorable matrices to be bounded operators on a k
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Tarih
2009
Yazarlar
Dergi Başlığı
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Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
A factorable matrix A is a lower triangular matrix with entries a nk = a nb k. The sequence space A k is defined in (2). In this paper we determine sufficient conditions for a nonnegative factorable matrix A to be a bounded operator on A k, i.e., A ? B(A k)- As corollaries we obtain sufficient conditions for the discrete Cesáro, terraced, and p-Cesáro matrices defined by Rhaly, to be in B(A k) Copyright © 2009 Rocky Mountain Mathematics Consortium.
Açıklama
Anahtar Kelimeler
A k spaces, Bounded operator, Factorable matrices, Rhaly matrices
Kaynak
Rocky Mountain Journal of Mathematics
WoS Q Değeri
Q4
Scopus Q Değeri
Q2
Cilt
39
Sayı
2