6 citations · 12 across the 3 of their papers we have counts for
6 papers
Topological Poincaré type inequalities and lower bounds on the infimum of the spectrum for graphs
Daniel Lenz, Marcel Schmidt, Peter Stollmann
We study topological Poincaré type inequalities on general graphs. We characterize graphs satisfying such inequalities and then turn to the best constants in these inequalities. In…
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…
Boundary representation of Dirichlet forms on discrete spaces
Matthias Keller, Daniel Lenz, Marcel Schmidt +1
We describe the set of all Dirichlet forms associated to a given infinite graph in terms of Dirichlet forms on its Royden boundary. Our approach is purely analytical and uses form…
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…
Energy forms
Marcel Schmidt
In this thesis we study energy forms. These are quadratic forms on the space of real-valued measurable -a.e. determined functions which assign to a…
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…