Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extensions of some matrix inequalities related to trace and partial
  traces   We first present a determinant inequality related to partial traces for
positive semidefinite block matrices. Our result extends a result of Lin
[Czech. Math. J. 66 (2016)] and improves a result of Kuai [Linear Multilinear
Algebra 66 (2018)]. Moreover, we provide a unified treatment of a result of
Ando [ILAS Conference (2014)] and a recent result of Li, Liu and Huang
[Operators and Matrices 15 (2021)]. Furthermore, we also extend some
determinant inequalities involving partial traces to a larger class of matrices
whose numerical ranges are contained in a sector. In addition, some extensions
on trace inequalities for positive semidefinite $2\times 2$ block matrices are
also included.

5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
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
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics