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Stability of C0-semigroups and geometry of Banach spaces
Published online by Cambridge University Press: 24 October 2003
Abstract
We obtain new stability conditions for $C_0$-semigroups on Banach spaces having nontrivial Fourier type. On Hilbert spaces these conditions are sharp. For $C_0$-semigroups on general Banach spaces, we prove a new individual stability criterion. We also show that stronger versions of the range stability condition from [4] are not necessary for stability. This answers an open problem from [4].
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 135 , Issue 3 , November 2003 , pp. 493 - 511
- Copyright
- © 2003 Cambridge Philosophical Society
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