On the fine spectrum of the operator B(r,s,t)over c(0) and c


Furkan H., Bilgic H., Altay B.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.53, ss.989-998, 2007 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 53 Konu: 6
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1016/j.camwa.2006.07.006
  • Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Sayfa Sayıları: ss.989-998

Özet

We determine the fine spectrum of the operator B(r, s, t) defined by a triple-band matrix over the sequence spaces c(0) and c. This generalizes the spectrum of the second-order difference operator Delta(2) and includes some other special cases such as the generalized difference operator B(r, s) of [B. Altay, F. Basar, On the fine spectrum of the generalized difference operator B(r, s) over the sequence spaces c(0) and c, Internal. J. Math. Math. Sci. 18 (2005) 3005-3013], the difference operator Delta of [13. Altay, F. Basar, On the fine spectrum of the difference operator on c(0) and c, Inform. Sci. 168 (2004) 217-224], the right shift and Zweier matrices. (c) 2007 Elsevier Ltd. All rights reserved.