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Algebraic reflexivity of sets of bounded operators on vector valued Lipschitz functions

✍ Scribed by Fernanda Botelho; James Jamison


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
133 KB
Volume
432
Category
Article
ISSN
0024-3795

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Characterization of Exponential Stabilit
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It is proved that a C 0 -semigroup T=[T(t)] t 0 of linear operators on a Banach space X is uniformly exponentially stable if and only if it acts boundedly on one of the spaces L p (R + , X) or C 0 (R + , X) by convolution. As an application, it is shown that T is uniformly exponentially stable if an