The isometry group of L^{p}(μ,\X) is SOT-contractible

Details The isometry group of L^{p}(μ,\X) is SOT-contractible The isometry group of L^{p}(μ,\X) is SOT-contractible

2008-04-28

arxiv.org/abs/0804.4427v1

Mathematics

Functional Analysis

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

The isometry group of L^{p}(μ,\X) is SOT-contractible does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The isometry group of L^{p}(μ,\X) is SOT-contractible, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The isometry group of L^{p}(μ,\X) is SOT-contractible will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-691925