On the fine spectrum of the second order difference operator over the sequence spaces ℓ p and bvp,(1<p<∞)
Mathematical and Computer Modelling, vol.55, no.3-4, pp.426-431, 2012 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 55 Issue: 3-4
- 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
- İstanbul Ticaret 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 bvp. © 2011 Elsevier Ltd.