Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interpolation of nonlinear positive or order preserving operators on
  Banach lattices   We study the relationship between exact interpolation spaces for positive,
linear operators, for order preserving, Lipschitz continuous operators, and for
positive Gagliardo-Peetre operators, and exact partially $K$-monotone spaces in
interpolation couples of compatible Banach lattices. By general Banach lattice
theory we recover a characterisation of exact interpolation spaces for order
preserving, Lipschitz continuous operators in the couple $(L^1,L^\infty )$ due
to B\'enilan and Crandall.

13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int