Article ID Journal Published Year Pages File Type
4623551 Journal of Mathematical Analysis and Applications 2006 12 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis