%0 Journal Article %T The isometry group of L^{p}(¦Ì,\X) is SOT-contractible %A Jarno Talponen %J Mathematics %D 2008 %I arXiv %X 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. %U http://arxiv.org/abs/0804.4427v1