Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Harnack type inequalities for operators in logarithmic submajorisation   The aim of this paper is to study the Harnack type logarithmic
submajorisation and Fuglede-Kadison determinant inequalities for operators in a
finite von Neumann algebra. In particular, the Harnack type determinant
inequalities due to Lin-Zhang [15] and Yang-Zhang [27] are extended to the case
of operators in a finite von Neumann algebra.

8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an