Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some Numerical radius inequalities   In this work, a pre-Gr\"{u}ss inequality for positive Hilbert space operators
is proved. So that, some numerical radius inequalities are proved. On the other
hand, based on a non-commutative Binomial formula, a non-commutative upper
bound for the numerical radius of the summand of two bounded linear Hilbert
space operators is proved. A commutative version is also obtained as well.

1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg