The isometry group of L^{p}(\mu,\X) is SOT-contractible
Functional Analysis
2008-04-29 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0804.4427,
title = {The isometry group of L^{p}(\mu,\X) is SOT-contractible},
author = {Jarno Talponen},
journal= {arXiv preprint arXiv:0804.4427},
year = {2008}
}