Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the norm attainment set of a bounded linear operator and
  semi-inner-products in normed spaces   We obtain a complete characterization of the norm attainment set of a bounded
linear functional on a normed space, in terms of a semi-inner-product defined
on the space. Motivated by this result, we further apply the concept of
semi-inner-products to obtain a complete characterization of the norm
attainment set of a bounded linear operator between any two real normed spaces.
In particular, this answers an open question raised recently in [Sain, D.,
\textit{On the norm attainment set of a bounded linear operator}, J. Math.
Anal. Appl., \textbf{457} (2018), 67-76.]. Our results illustrate the
applicability of semi-inner-products towards a better understanding of the
geometry of normed spaces.

19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph