Subdivision of Spectra for Some Lower Triangular Double-Band Matrices as Operators on c(0)
Abstract
The generalized difference operator.a, b was defined by El- Shabrawy:.a, bx =.a, b ( xn) = ( anxn + bn- 1xn- 1) 1n = 0 with x- 1 = b- 1 = 0, where ( ak) and ( bk) are convergent sequences of nonzero real numbers satisfying certain conditions. We completely determine the approximate point spectrum, the defect spectrum, and the compression spectrum of the operator.a, b in a sequence space c0.
Source
UKRAINIAN MATHEMATICAL JOURNALVolume
70Issue
7Collections
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