Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Closability, regularity, and approximation by graphs for separable
  bilinear forms   We consider a countably generated and uniformly closed algebra of bounded
functions. We assume that there is a lower semicontinuous, with respect to the
supremum norm, quadratic form and that normal contractions operate in a certain
sense. Then we prove that a subspace of the effective domain of the quadratic
form is naturally isomorphic to a core of a regular Dirichlet form on a locally
compact separable metric space. We also show that any Dirichlet form on a
countably generated measure space can be approximated by essentially discrete
Dirichlet forms, i.e. energy forms on finite weighted graphs, in the sense of
Mosco convergence, i.e. strong resolvent convergence.

32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg