Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized numerical radius and related inequalities   They proved several properties and introduced some inequalities. We continue
with the study of this generalized numerical radius and we develop diverse
inequalities involving w_N. We also study particular cases with a fixed N(.),
for instance the p-Schatten norms. In ["A generalization of the numerical
radius". Linear Algebra Appl. 569 (2019)], Abu Omar and Kittaneh defined a new
generalization of the numerical radius. That is, given a norm $N(\cdot)$ on
$\bh$, the space of bounded linear operators over a Hilbert space H, and A in
B(H) w_N(A)=sup_{\theta\in \R}N(Re(e^{i\theta}A)). They proved several
properties and introduced some inequalities. We continue with the study of this
generalized numerical radius and we develop diverse inequalities involving
$w_N$. We also study particular cases when N(.) is the p- Schatten norm with
p>1.

37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn