Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On numerical radius and Crawford number attainment sets of a bounded
  linear operator   We completely characterize the Crawford number attainment set and the
numerical radius attainment set of a bounded linear operator on a Hilbert
space. We study the intersection properties of the corresponding attainment
sets of numerical radius, Crawford number, norm, minimum norm of a bounded
linear operator defined on a normed space. Our study illustrates the
similarities and the differences of the extremal properties of a bounded linear
operator on a Hilbert space and a general normed space.

20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio