Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An elementary and unified proof of Grothendieck's inequality   We present an elementary, self-contained proof of Grothendieck's inequality
that unifies the real and complex cases and yields both the Krivine and
Haagerup bounds, the current best-known explicit bounds for the real and
complex Grothendieck constants respectively. This article is intended to be
pedagogical, combining and streamlining known ideas of
Lindenstrauss--Pe{\l}czy\'nski, Krivine, and Haagerup into a proof that need
only univariate calculus, basic complex variables, and a modicum of linear
algebra as prerequisites.

9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org