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.
Original language | Undefined |
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Article number | 10.1007/s00233-007-0723-9 |
Pages (from-to) | 438-445 |
Number of pages | 8 |
Journal | Semigroup forum |
Volume | 75 |
Issue number | 7/2 |
DOIs | |
Publication status | Published - 2007 |
Keywords
- EWI-11808
- IR-62139
- METIS-245972
- MSC-47D06