Sufficient conditions for factorable matrices to be bounded operators on a k

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Tarih

2009

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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

Künye