On Some n-Involution and k-Potent Operators on Hilbert Spaces

dc.contributor.authorBernard Mutuku Nzimbi1,
dc.contributor.authorBeth Nyambura Kiratu2
dc.contributor.authorStephen Wanyonyi Luketero1
dc.date.accessioned2024-11-19T07:26:27Z
dc.date.available2024-11-19T07:26:27Z
dc.date.issued2024-08-13
dc.description.abstractIn this paper, we survey various results concerning n -involution operators and k -potent operators in Hilbert spaces. We gain insight by studying the operator equation n T I = , with , 1 k T I k n ≠ ≤ − where n k, ∈N . We study the structure of such operators and attempt to gain information about the structure of closely related operators, associated operators and the attendant spectral geometry. The paper concludes with some applications in integral equations.
dc.identifier.urihttps://erepository.ouk.ac.ke/handle/123456789/1497
dc.publisherSciencePG
dc.titleOn Some n-Involution and k-Potent Operators on Hilbert Spaces
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