Corpus ID: 56211655

Geometric properties of Dirichlet forms under order isomorphisms

@article{Lenz2018GeometricPO,
  title={Geometric properties of Dirichlet forms under order isomorphisms},
  author={D. Lenz and M. Schmidt and Melchior Wirth},
  journal={arXiv: Functional Analysis},
  year={2018}
}
We study pairs of Dirichlet forms related by an intertwining order isomorphisms between the associated $L^2$-spaces. We consider the measurable, the topological and the geometric setting respectively. In the measurable setting, we deal with arbitrary (irreducible) Dirichlet forms and show that any intertwining order isomorphism is necessarily unitary (up to a constant). In the topological setting we deal with quasi-regular forms and show that any intertwining order isomorphism induces a quasi… Expand

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