Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multivariate extensions of the Golden-Thompson inequality   We study concave trace functions of several operator variables and formulate
and prove multivariate generalisations of the Golden-Thompson inequality. The
obtained results imply that certain functionals in quantum statistical
mechanics have bounds of the same form as they appear in classical physics.

10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess