Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Davis-Wielandt shell of an operator and the Davis-Wielandt index
  of a normed linear space   We study the Davis-Wielandt shell and the Davis-Wielandt radius of an
operator on a normed linear space $\mathcal{X}$. We show that after a suitable
modification, the modified Davis-Wielandt radius defines a norm on
$\mathcal{L}(\mathcal{X})$ which is equivalent to the usual operator norm on
$\mathcal{L}(\mathcal{X})$. We introduce the Davis-Wielandt index of a normed
linear space and compute its value explicitly in case of some particular
polyhedral Banach spaces. We also present a general method to estimate the
Davis-Wielandt index of any polyhedral Banach space.

11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph