Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounds for a nonlinear ergodic theorem for Banach spaces   We extract quantitative information (specifically, a rate of metastability in
the sense of Terence Tao) from a proof due to Kazuo Kobayasi and Isao Miyadera,
which shows strong convergence for Ces\`aro means of nonexpansive maps on
Banach spaces.

13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph