|Publisher DOI:||10.1016/j.jfa.2019.05.017||Title:||On the construction and convergence of traces of forms||Language:||English||Authors:||BelHadjAli, Hichem
|Issue Date:||1-Sep-2019||Source:||Journal of Functional Analysis 5 (277): 1334-1361 (2019-09-01)||Journal or Series Name:||Journal of functional analysis||Abstract (english):||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 traces.||URI:||http://hdl.handle.net/11420/2859||ISSN:||0022-1236||Institute:||Mathematik E-10||Type:||(wissenschaftlicher) Artikel|
|Appears in Collections:||Publications without fulltext|
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