Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the fixed point property in direct sums of Banach spaces with
  strictly monotone norms   It is shown that if a Banach space X has the weak Banach-Saks property and
the weak fixed point property for nonexpansive mappings and Y satisfies
property asymptotic (P) (which is weaker than the condition WCS(Y)>1), then the
direct sum of X and Y endowed with a strictly monotone norm enjoys the weak
fixed point property. The same conclusion is valid if X admits a
1-unconditional basis.

26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ