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.

14 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

References in corpus (3)

• Locality and Domination of Semigroups
• Spectrum and convergence of eventually positive operator semigroups
• Criteria for eventual domination of operator semigroups and resolvents