This is an announcement for the paper "The isometry group of L^{p}(\mu,\X) is SOT-contractible" by Jarno Talponen.

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.

Archive classification: math.FA

Mathematics Subject Classification: 46B04; 46B25; 46E40

The source file(s), contr32.tex: 27449 bytes, is(are) stored in gzipped form as 0804.4427.gz with size 9kb. The corresponding postcript file has gzipped size 75kb.

Submitted from: talponen@cc.helsinki.fi

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http://front.math.ucdavis.edu/0804.4427

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http://arXiv.org/abs/0804.4427

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