Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the construction and convergence of traces of forms   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 and that asymptotic compactness of Dirichlet
forms yields asymptotic compactness of their traces.

24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn