Quasi-regular topologies for L-resolvents and semi-Dirichlet forms

نویسندگان

  • Lucian Beznea
  • Michael Röckner
چکیده

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-resolvents is proven.

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تاریخ انتشار 2005