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, cilt.55, ss.426-431, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 55
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.mcm.2011.08.021
  • Dergi Adı: MATHEMATICAL AND COMPUTER MODELLING
  • Sayfa Sayıları: ss.426-431

Özet

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.