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Bounds on stability of decompositions in semigroups of functions representable by Jacobi polynomial series

โœ Scribed by I. P. Trukhina


Publisher
Springer US
Year
1986
Tongue
English
Weight
725 KB
Volume
35
Category
Article
ISSN
1573-8795

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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