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20162024
most citedGeometric properties of Dirichlet forms under order isomorphisms

6 citations · 9 across the 7 of their papers we have counts for

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math.FA2024

Intertwining Curvature Bounds for Graphs and Quantum Markov Semigroups

Florentin Münch, Melchior Wirth, Haonan Zhang

Based on earlier work by Carlen-Maas and the second- and third-named author, we introduce the notion of intertwining curvature lower bounds for graphs and quantum Markov semigroups…

math.FA2019

Self-Adjoint Extensions of Bipartite Hamiltonians

Daniel Lenz, Timon Weinmann, Melchior Wirth

We compute the deficiency spaces of operators of the form , for symmetric and self-adjoint . This enables us to construct se…

math.FA20186 cited

Geometric properties of Dirichlet forms under order isomorphisms

Daniel Lenz, Marcel Schmidt, Melchior Wirth

We study pairs of Dirichlet forms related by an intertwining order isomorphisms between the associated -spaces. We consider the measurable, the topological and the geometric s…

math.FA2017

Domination of quadratic forms

Daniel Lenz, Marcel Schmidt, Melchior Wirth

We study domination of quadratic forms in the abstract setting of ordered Hilbert spaces. Our main result gives a characterization in terms of the associated forms. This generalize…

math.FA20172 cited

Stability of Kac regularity under domination of quadratic forms

Melchior Wirth

A domain is called Kac regular for a quadratic form on if the closure of all functions vanishing almost everywhere outside a closed subset of the domain coincides with the se…

math.FA2016

Uniqueness of form extensions and domination of semigroups

Melchior Wirth

In this article, we study questions of uniqueness of form extension for certain magnetic Schrödinger forms. The method is based on the theory of ordered Hilbert spaces and the conc…