Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Une remarque sur les espaces d'interpolation faiblement localement
  uniform\'ement convexes   Let $(A_0, A_1)$ be an interpolation couple, and let $B_j$ be the closure of
$A_0^\ast \cap A_1^\ast$ in $A_j^\ast$, $j = 0, 1$. For every $\theta \in \,
]0, 1[$, there exists a natural one to one contraction $R^\theta : A^\theta
\rightarrow (B_0^\ast, B_1^\ast)^\theta$. For some $\beta \in \, ]0, 1[$, the
closure of $R^\beta (A^\beta)$ in $(B_0^\ast, B_1^\ast)^\beta$ is supposed to
be weakly LUR. Then $A^\theta = A_\theta$ for every $\theta \in \, ]0, 1[$.

12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga