Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/72506
Type: Artigo de periódico
Title: The stochastic Weiss conjecture for bounded analytic semigroups
Author: Abreu, J
Haak, B
van Neerven, J
Abstract: Suppose -A admits a bounded H8-calculus of angle less than p/2 on a Banach space E which has Pisier's property (a), let B be a bounded linear operator from a Hilbert space H into the extrapolation space E-1 of E with respect to A, and let WH denote an H-cylindrical Brownian motion. Let.(H, E) denote the space of all.-radonifying operators from H to E. We prove that the following assertions are equivalent: the stochastic Cauchy problem dU(t) = AU(t) dt + B dW(H)(t) admits an invariant measure on E; (-A)(-1/2) B is an element of gamma(H, E); the Gaussian sum Sigma(n is an element of Z) gamma(n) 2(n/2) R(2(n), A)B converges in gamma(H, E) in probability. This solves the stochastic Weiss conjecture of [8].
Country: Inglaterra
Editor: Oxford Univ Press
Rights: fechado
Identifier DOI: 10.1112/jlms/jdt003
Date Issue: 2013
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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