| Integrated semigroups of unbounded linear operators and $C_0$ semigroups on subspaces |
| Ratko Kravarušić, Milorad Mijatović and Stevan Pilipović |
Abstract We give conditions under which an infinitesimal generator of an integrated semigroups of unbounded linear operator becomes an infinitesimal generator of a perturbated semigroup of bounded linear operators. Also, we analyze when a linear operator in a Banach space is an infinitesimal generator of an integrated semigroups of unbounded linear operators.
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Keywords: $C_{0}$-semigroups, integrated semigroups, infinitesimal generator, perturbed operator. |
MSC: 47D06, 47D40 |
Pages: 117--124 |
Volume 54 , Issue 3$-$4 , 2002 |
