A stochastic Datko-Pazy theorem
HAAK, Bernhard H.
Delft Institute of Applied Mathematics [TWA]
Institut de Mathématiques de Bordeaux [IMB]
Delft Institute of Applied Mathematics [TWA]
Institut de Mathématiques de Bordeaux [IMB]
HAAK, Bernhard H.
Delft Institute of Applied Mathematics [TWA]
Institut de Mathématiques de Bordeaux [IMB]
< Reduce
Delft Institute of Applied Mathematics [TWA]
Institut de Mathématiques de Bordeaux [IMB]
Language
en
Article de revue
This item was published in
Journal of Mathematical Analysis and Applications. 2007, vol. 329, n° 2, p. 1230-1239
Elsevier
English Abstract
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 ...Read more >
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.Read less <
English Keywords
semigroups
Datko-Pazy theorem
stochastic Cauchy problem
invariant measures
perturbation theory Riesz sequences
almost summing operators
$\gamma$--radonifying operators
Origin
Hal imported