Quasi-Regular Topologies for L^p-Resolvents and Semi-Dirichlet Forms

Lucian Beznea, Nicu Boboc, Michael Röckner

We prove that for any semi-Dirichlet form $(\epsilon ,D(\epsilon ))$ on a measurable Lusin space $E$ there exists a Lusin topology with the given $\sigma$-algebra as the Borel $\sigma$-algebra so that $(ε,…