On the fine spectrum of the operator B(r,s,t) over c0 and c

We determine the fine spectrum of the operator B(r,s,t) defined by a triple-band matrix over the sequence spaces c0 and c. This generalizes the spectrum of the second-order difference operator and includes some other special cases such as the generalized difference operator B(r,s) of [B. Altay, F. B...

Full description

Saved in:
Bibliographic Details
Published in:Computers & mathematics with applications (1987) 2007-03, Vol.53 (6), p.989-998
Main Authors: Furkan, Hasan, Bilgic, Huseyin, Altay, Bilal
Format: Article
Language:English
Subjects:
Mathematical analysis
Mathematical models
Matrices
Matrix methods
Operators
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We determine the fine spectrum of the operator B(r,s,t) defined by a triple-band matrix over the sequence spaces c0 and c. This generalizes the spectrum of the second-order difference operator 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 c0 and c, Internat. J. Math. Math. Sci. 18 (2005) 3005-3013], the difference operator of [B. Altay, F. Basar, On the fine spectrum of the difference operator on c0 and c, Inform. Sci. 168 (2004) 217-224], the right shift and Zweier matrices.
ISSN:0898-1221
DOI:10.1016/j.camwa.2006.07.006