SUFFICIENT CONDITIONS FOR FACTORABLE MATRICES TO BE BOUNDED OPERATORS ON A(k)


Savas E., Şevli H. , RHOADES B. E.

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, cilt.39, ss.633-644, 2009 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 39 Konu: 2
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1216/rmj-2009-39-2-633
  • Dergi Adı: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.633-644

Özet

A factorable matrix A is a lower triangular matrix with entries a(nk) = a(n)b(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 is an element of B(A(k)). As corollaries we obtain sufficient conditions for the discrete Cesdro, terraced, and P-Cesaro matrices defined by Rhaly, to be in B(A(k)).