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Characterization of convolution operators on spaces ofC∞-functions admitting a continuous linear right inverse

✍ Scribed by Reinhold Meise; Dietmar Vogt


Publisher
Springer
Year
1987
Tongue
English
Weight
788 KB
Volume
279
Category
Article
ISSN
0025-5831

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✍ J.M.A.M. van Neerven 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 741 KB

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