Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local ergodic theorems in symmetric spaces of measurable operators   Local mean and individual (with respect to almost uniform convergence in
Egorov's sense) ergodic theorems are established for actions of the semigroup
$\mathbb R_+^d$ in symmetric spaces of measurable operators associated with a
semifinite von Neumann algebra.

11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin