Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A universal reflexive space for the class of uniformly convex Banach
  spaces   We show that there exists a separable reflexive Banach space into which every
separable uniformly convex Banach space isomorphically embeds. This solves a
problem of J. Bourgain. We also give intrinsic characterizations of separable
reflexive Banach spaces which embed into a reflexive space with a block
$q$-Hilbertian and/or a block $p$-Besselian finite dimensional decomposition.

21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
16
The categories of this paper are: stat
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex