Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sphere equivalence, Banach expanders, and extrapolation   We study the Banach spectral gap lambda_1(G;X,p) of finite graphs G for pairs
(X,p) of Banach spaces and exponents. We define the notion of sphere
equivalence between Banach spaces and show a generalization of Matousek's
extrapolation for Banach spaces sphere equivalent to uniformly convex ones. As
a byproduct, we prove that expanders are automatically expanders with respects
to (X,p) for any X sphere equivalent to a uniformly curved Banach space and for
any p strictly bigger than 1.

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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
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The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
3
The categories of this paper are: physics
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The categories of this paper are: comp-gas