PERTURBATION OF INFINITESIMAL GENERATOR IN SEMIGROUP OF LINEAR OPERATOR

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 231

Volume : 15 , Issue : 3
DOI:
Author :
A. Y. Akinyele (Department of Mathematics, University of Ilorin, Ilorin, NIGERIA)
O. Y. Saka-Balogun (Department of Mathematical and Physical Sciences, Afe Babalola University, Ado-Ekiti, NIGERIA)
O. A. Adeyemo (Department of Mathematical and Physical Sciences, Afe Babalola University, Ado-Ekiti, NIGERIA)

Abstract

This paper consists of results on contraction semigroups thereby considering ω-order reversing partial contraction mapping (semigroup of linear operator)
as the infinitesimal generator of the semigroup on perturbation by bounded linear operators which we will show that the addition of a bounded linear operator B to an infinitesimal generator A of a semigroup of linear opearator does not destroy the property of A.

Keywords and Phrases

?-ORCPn, C0-Semigroup, Contraction Semigroup, Perturbation.

A.M.S. subject classification

06F15, 06F05, 20M05.

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