Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unitarization of uniformly bounded subgroups in finite von Neumann
  algebras   This note will present a new proof of the fact that every uniformly bounded
group of invertible elements in a finite von Neumann algebra is similar to a
unitary group. The proof involves metric geometric arguments in the
non-positively curved space of positive invertible operators of the algebra; in
1974 Vasilescu and Zsido proved this result using the Ryll-Nardzewsky fixed
point theorem.

16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an