Wednesday, July 12, 2017 - 14:15 in V3-201
Construction and properties of traces of quadratic forms in the framework of Hilbert and Drichlet spaces
A talk in the Bielefeld Stochastic Afternoon series by
Ali Ben Amor
| Abstract: |
We elaborate a new method for constructing traces of quadratic forms in the framework of Hilbert and Dirichlet spaces.
Our method relies on monotone convergence of quadratic forms and the canonical decomposition into regular and singular part.
We give various situations where the trace can be described more explicitly and compute it for some illustrating examples.
We then show that Mosco convergence of Dirichlet forms implies Mosco convergence of a subsequence of their approximating tracesand that asymptotic compactness of Dirichlet forms yields asymptotic compactness of their traces.
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