2006/02/20 by Bernhard Haak, Bernhard H. Haak, Jan van Neerven +5
Economics, Econometrics and Finance · Mathematics · #28C20 #46B09 #46B15 #47D06 #47N30 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Stochastic processes and financial applications #math.FA #msc:28C20 #msc:46B09 #msc:46B15 #msc:47D06 #msc:47N30
paper · pdf · doi:10.48550/arxiv.math/0602427
Updated version, 9 pages. To appear in J. Math. Anal. Appl
openalex publication_date 2006/02/20 · arxiv created 2006/08/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let H be a Hilbert space and E a Banach space. In this note we present a sufficient condition for an operator R: H→ 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.