A stochastic Datko-Pazy theorem
| hal.structure.identifier | Delft Institute of Applied Mathematics [TWA] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | HAAK, Bernhard H. | |
| hal.structure.identifier | Delft Institute of Applied Mathematics [TWA] | |
| dc.contributor.author | VAN NEERVEN, Jan M.A.M. | |
| hal.structure.identifier | Delft Institute of Applied Mathematics [TWA] | |
| dc.contributor.author | VERAAR, Mark | |
| dc.date.accessioned | 2024-04-04T02:53:04Z | |
| dc.date.available | 2024-04-04T02:53:04Z | |
| dc.date.issued | 2007 | |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192136 | |
| dc.description.abstractEn | Let $H$ be a Hilbert space and $E$ a Banach space. In this note we present a sufficient condition for an operator $R: H\to E$ to be $\ga$--radonifying in terms of Riesz sequences in $H$. This result is applied to recover a result of Lutz Weis and the second named author on the $R$-boundedness of resolvents, which is used to obtain a Datko-Pazy type theorem for the stochastic Cauchy problem. We also present some perturbation results. | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.subject.en | semigroups | |
| dc.subject.en | Datko-Pazy theorem | |
| dc.subject.en | stochastic Cauchy problem | |
| dc.subject.en | invariant measures | |
| dc.subject.en | perturbation theory Riesz sequences | |
| dc.subject.en | almost summing operators | |
| dc.subject.en | $\gamma$--radonifying operators | |
| dc.title.en | A stochastic Datko-Pazy theorem | |
| dc.type | Article de revue | |
| bordeaux.journal | Journal of Mathematical Analysis and Applications | |
| bordeaux.page | 1230-1239 | |
| bordeaux.volume | 329 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 2 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00281619 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00281619v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Mathematical%20Analysis%20and%20Applications&rft.date=2007&rft.volume=329&rft.issue=2&rft.spage=1230-1239&rft.epage=1230-1239&rft.eissn=0022-247X&rft.issn=0022-247X&rft.au=HAAK,%20Bernhard%20H.&VAN%20NEERVEN,%20Jan%20M.A.M.&VERAAR,%20Mark&rft.genre=article |
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