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

10 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

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title = "A note on plynomially bounded C0-semigroups",

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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AU - Eisner, T.

AU - Zwart, Heiko J.

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PY - 2007

Y1 - 2007

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AB - 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.

KW - EWI-11808

KW - IR-62139

KW - METIS-245972

KW - MSC-47D06

U2 - 10.1007/s00233-007-0723-9

DO - 10.1007/s00233-007-0723-9

M3 - Article

VL - 75

SP - 438

EP - 445

JO - Semigroup forum

JF - Semigroup forum

SN - 0037-1912

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