| A note on plynomially bounded $C_0$-semigroups (2007) | |||||||||||
Abstract | |||||||||||
| We characterize polynomial growth of a $C_0$-semigroup in terms of the first power of the resolvent of its generator. We do this for a class of semigroups which includes $C_0$-semigroups on Hilbert spaces and analytic semigroups on Banach spaces. Furthermore, we characterize polynomial growth for discrete semigroups. | |||||||||||
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