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Stabilizability in Asymptotically Finite-Dimensional Semigroups
Authors:Storozhuk  K V
Abstract:We study a semigroup phiv of linear operators on a Banach space X which satisfies the condition codim X 0<infin, where 
$$X_0 = \{ x \in X|\varphi _t (x)\mathop \to \limits_{t \to \infty } 0\} .$$
We show that X 0 is closed and establish some properties of the asymptotic behavior of the subspaces complementing X 0 to X.
Keywords:semigroup of linear operators  invariant subspace of a semigroup
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