Mosco convergence of quasi-regular Dirichlet forms
type: Item
instance of: scholarly article
title: Mosco convergence of quasi-regular Dirichlet forms
zbMATH Open document ID: 1030.31007
DOI: 10.1007/BF02669826
author: Wei Sun
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 2003-03-17T00:00:00Z
review text: The subject of this paper is the Mosco convergence of quasi-regular Dirichlet forms. The author gives a sufficient condition in order that the Mosco limit of a sequence of symmetric quasi-regular Dirichlet forms be quasi-regular. The key point is the uniform tightness of the capacities associated with the corresponding Dirichlet forms. By applying this result, a necessary and sufficient condition is obtained for a Dirichlet form to be a quasi-regular Dirichlet form in terms of its Yosida approximation sequence. The author further studies the question: when is the Mosco limit of a sequence of local quasi-regular Dirichlet forms also a quasi-regular Dirichlet form.
reviewed by: Zoran Vondraček
Mathematics Subject Classification ID: 31C25
Mathematics Subject Classification ID: 46N20
zbMATH DE Number: 1883420
zbMATH Keywords: quasi-regular Dirichlet form
zbMATH Keywords: Mosco convergence
zbMATH Keywords: uniform tightness
zbMATH Keywords: Beurling-Deny formulae
MaRDI profile type: Publication
cites work: Composite media and asymptotic Dirichlet forms
cites work: Introduction to the theory of (non-symmetric) Dirichlet forms
cites work: Q5332803
cites work: A note on Beurling-Deny formulae in infinite dimensional spaces
full work available at URL: https://doi.org/10.1007/bf02669826
OpenAlex ID: W50139372
description: scientific article; zbMATH DE number 1883420