CodiceQDD 129
TitoloVariations in Noncommutative Potential Theory: finite-energy states, potentials and multipliers
Autore/iCipriani F.; Sauvageot J.L.
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AbstractIn this work we undertake an extension of various aspects of the potential theory of Dirichlet forms from locally compact spaces to noncommutative C-star-algebras with trace. In particular we introduce finite-energy states, potentials and multipliers of Dirichlet spaces. We prove several results among which the celebrated Deny s embedding theorem and the Deny s inequality, the fact that the carre du champ of bounded potentials are finite-energy functionals and the relative supply of multipliers.