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Research Article

PERTURBATION OF INFINITESIMAL GENERATOR IN SEMIGROUP OF LINEAR OPERATOR

A
A. Y. Akinyele Department of Mathematics, University of Ilorin, Ilorin, NIGERIA
O
O. Y. Saka-Balogun Department of Mathematical and Physical Sciences, Afe Babalola University, Ado-Ekiti, NIGERIA
O
O. A. Adeyemo Department of Mathematical and Physical Sciences, Afe Babalola University, Ado-Ekiti, NIGERIA
Volume 15, Issue 3 Pages 53-64 December 31, 2019 284 downloads
Article overview

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

?-ORCPnC0-SemigroupContraction SemigroupPerturbation.

AMS Subject Classification

06F15, 06F05, 20M05.

Reference information

How to Cite

A. Y. Akinyele, O. Y. Saka-Balogun, O. A. Adeyemo (2019). PERTURBATION OF INFINITESIMAL GENERATOR IN SEMIGROUP OF LINEAR OPERATOR. South East Asian Journal of Mathematics and Mathematical Sciences, 15(3), 53-64.
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