Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A real p-homogeneous seminorm with square property is submultiplicative   We give a functional representation theorem for a class of real p-Banach
algebras. This theorem is used to show that every p-homogeneous seminorm with
square property on a real associative algebra is submultiplicative.

15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg