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

Lucian Beznea·Nicu Boboc·Michael Röckner
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Abstract

We prove that for any semi-Dirichlet form $(ε, D(ε))$ on a measurable Lusin space $E$ there exists a Lusin topology with the given $σ$-algebra as the Borel $σ$-algebra so that $(ε, D(ε))$ becomes quasi-regular. However one has to enlarge $E$ by a zero set. More generally a corresponding result for arbitrary $L^p$-resolvents is proven.

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Lucian Beznea, Nicu Boboc, Michael Röckner. 2005-12-22. Quasi-Regular Topologies for L^p-Resolvents and Semi-Dirichlet Forms. https://arxiv.org/abs/math/0512524

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