On the fine spectrum of the second order difference operator over the sequence spaces l(p) and bv(p), (1 < p < infinity)

Karakaya V., Manafov M. D., Simsek N.

MATHEMATICAL AND COMPUTER MODELLING, vol.55, pp.426-431, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 55
  • Publication Date: 2012
  • Doi Number: 10.1016/j.mcm.2011.08.021
  • Journal Name: MATHEMATICAL AND COMPUTER MODELLING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.426-431
  • Keywords: Spectrum of an operator, The sequence spaces l(p) and bv(p), Symmetric tri-band matrix
  • Yıldız Technical University Affiliated: Yes

Abstract

In general, the behaviors of the symmetric tri-band matrices on the Hilbert spaces are well known. But the symmetric tri-band matrices have different behavior on the Banach spaces. The main purpose of this work is to determine the fine spectra of the operator U(s, r, s) defined by symmetric tri-band matrix over the sequence spaces l(p) and bv(p). (C) 2011 Elsevier Ltd. All rights reserved.