Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An index of summability for pairs of Banach spaces   We introduce the notion of index of summability for pairs of Banach spaces;
for Banach spaces E; F, this index plays the role of a kind of measure of how
the m-homogeneous polynomials from E to F are far from being absolutely
summing. In some cases the optimal index of summability is computed.

21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess