Abstract
In this paper we determine the fine spectrum of the generalized difference operator
Δ
a
,
b
defined by a lower triangular double-band matrix over the sequence space
c
0
. The class of the operator
Δ
a
,
b
contains as special cases many operators that have been studied recently in the literature. Illustrative examples showing the advantage of the present results are also given.
MSC:
47A10, 47B37.