Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The isometry group of L^{p}(\mu,\X) is SOT-contractible   We will show that if (\Omega,\Sigma,\mu) is an atomless positive measure
space, X is a Banach space and 1\leq p<\infty, then the group of isometric
automorphisms on the Bochner space L^{p}(\mu,X) is contractible in the strong
operator topology. We do not require \Sigma or X above to be separable.

23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th