Domination of semigroups generated by regular forms

Abstract

We give a representation for regular forms associated with dominated $C_0$-semigroups which, in turn, characterises domination of $C_0$-semigroups associated with regular forms. In addition, we prove a relationship between the positivity of (dominated) $C_0$-semigroups and the locality of the associated forms.

arXiv comment14 pages. This is version 2. Compared to version 1, the introduction has been changed and certain statements/proofs have been made more precise. Further references have been added

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