A stochastic Datko-Pazy theorem
泛函分析
2007-05-23 v2
摘要
Let be a Hilbert space and a Banach space. In this note we present a sufficient condition for an operator to be --radonifying in terms of Riesz sequences in . This result is applied to recover a result of Lutz Weis and the second named author on the -boundedness of resolvents, which is used to obtain a Datko-Pazy type theorem for the stochastic Cauchy problem. We also present some perturbation results.
引用
@article{arxiv.math/0602427,
title = {A stochastic Datko-Pazy theorem},
author = {Bernhard Haak and Jan van Neerven and Mark Veraar},
journal= {arXiv preprint arXiv:math/0602427},
year = {2007}
}
备注
Updated version, 9 pages. To appear in J. Math. Anal. Appl