A stochastic Datko-Pazy theorem
| dc.creator | Haak, Bernhard | |
| dc.creator | van Neerven, Jan | |
| dc.creator | Veraar, Mark | |
| dc.date | 2006-02-20 | |
| dc.date | 2006-08-14 | |
| dc.date.accessioned | 2026-07-07T07:03:36Z | |
| dc.date.available | 2026-07-07T07:03:36Z | |
| dc.description | 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 $γ$--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.description | Updated version, 9 pages. To appear in J. Math. Anal. Appl | |
| dc.identifier | https://arxiv.org/abs/math/0602427 | |
| dc.identifier | http://arxiv.org/abs/math/0602427 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/109035 | |
| dc.subject | Functional Analysis | |
| dc.subject | 47D06; 28C20; 46B09; 46B15; 47N30 | |
| dc.title | A stochastic Datko-Pazy theorem | |
| dc.type | text |