Uniformly gamma-radonifying families of operators and the stochastic Weiss conjecture
| 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 | |
| dc.date.accessioned | 2024-04-04T02:53:00Z | |
| dc.date.available | 2024-04-04T02:53:00Z | |
| dc.date.created | 2006-11-23 | |
| dc.date.issued | 2012 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192130 | |
| dc.description.abstractEn | We introduce the notion of uniform $\gamma$--radonification of a family of operators, which unifies the notions of $R$--boundedness of a family of operators and $\gamma$--radonification of an individual operator. We study the the properties of uniformly $\gamma$--radonifying families of operators in detail and apply our results to the stochastic abstract Cauchy problem $$ dU(t) = AU(t) dt + B dW(t), \quad U(0)=0. $$ Here, $A$ is the generator of a strongly continuous semigroup of operators on a Banach space $E$, $B$ is a bounded linear operator from a separable Hilbert space $H$ into $E$, and $W_H$ is an $H$--cylindrical Brownian motion. | |
| dc.language.iso | en | |
| dc.title.en | Uniformly gamma-radonifying families of operators and the stochastic Weiss conjecture | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.7153/oam-06-50 | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| dc.identifier.arxiv | math/0611724 | |
| bordeaux.journal | Operators and Matrices | |
| bordeaux.page | 767-792 | |
| bordeaux.volume | 6 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 4 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00281649 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00281649v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Operators%20and%20Matrices&rft.date=2012&rft.volume=6&rft.issue=4&rft.spage=767-792&rft.epage=767-792&rft.au=HAAK,%20Bernhard%20H.&VAN%20NEERVEN,%20Jan&rft.genre=article |
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