Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592580 | Journal of Functional Analysis | 2006 | 37 Pages |
Abstract
Let E be an infinite-dimensional locally convex space, let {μn} be a weakly convergent sequence of probability measures on E, and let {En} be a sequence of Dirichlet forms on E such that En is defined on L2(μn). General sufficient conditions for Mosco convergence of the gradient Dirichlet forms are obtained. Applications to Gibbs states on a lattice and to the Gaussian case are given. Weak convergence of the associated processes is discussed.
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