On the fine spectrum of the operator B(r,s,t)over c(0) and c
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.
the sequence spaces c(0) and c difference operator generalized difference operator spectrum of an operator spectral mapping theorem