Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4623551 | Journal of Mathematical Analysis and Applications | 2006 | 12 Pages |
Abstract
We study the notion of dual quasisemigroups of bounded linear operators as a generalization of that for strongly continuous semigroup and prove some properties similar to the dual of a semigroup, among other things we prove that for reflexive Banach spaces the dual quasisemigroup is strongly continuous on (0,+∞). This allows us to extend some recent criteria of controllability to a general class of evolution equations in reflexive Banach spaces.
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Physical Sciences and Engineering
Mathematics
Analysis