On Extended Spectrum of a Composition Operator on Sequence Spaces

dc.contributor.author	Otieno, Dancun
dc.contributor.author	Omoke, Priscah
dc.contributor.author	Bonyo, Job
dc.date.accessioned	2025-04-01T14:42:43Z
dc.date.available	2025-04-01T14:42:43Z
dc.date.issued	2025-03-23
dc.identifier.uri	http://ir.jooust.ac.ke/handle/123456789/14783
dc.description.abstract	In this paper, we investigate the spectral properties of a composition operator Cα : ` p → ` p , where 1 ≤ p < ∞ and a null sequence α = (αk)k∈N, defined by Cαx = (0, α1x1, α2x2, . . .). In particular, we prove that the point spectrum, the approximate point spectrum as well as the spectrum of Cα all coincide and is the singleton set containing 0. However, the extended spectrum of Cα turns out to be the complement of the closed unit disc of the complex plane.	en
dc.language.iso	en	en
dc.publisher	Annals of Mathematics and Computer Science	en
dc.subject	Extended spectrum	en
dc.subject	Eigenvalues	en
dc.subject	Sequence spaces	en
dc.subject	Composition operator	en
dc.title	On Extended Spectrum of a Composition Operator on Sequence Spaces	en
dc.type	Article	en