A note on plynomially bounded C0-semigroups

T. Eisner; Heiko J. Zwart

doi:10.1007/s00233-007-0723-9

A note on plynomially bounded C₀-semigroups

T. Eisner, Heiko J. Zwart

Research output: Contribution to journal › Article › Academic › peer-review

8 Citations (Scopus)

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
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	https://doi.org/10.1007/s00233-007-0723-9
Publication status	Published - 2007

Keywords

EWI-11808
IR-62139
METIS-245972
MSC-47D06

Access to Document

10.1007/s00233-007-0723-9

http://eprints.eemcs.utwente.nl/secure2/11808/01/semigroup75-2.pdf

Cite this

Eisner, T., & Zwart, H. J. (2007). A note on plynomially bounded C₀-semigroups. Semigroup forum, 75(7/2), 438-445. [10.1007/s00233-007-0723-9]. https://doi.org/10.1007/s00233-007-0723-9

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KW - METIS-245972

KW - MSC-47D06

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