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

dc.creatorTalponen, Jarno
dc.date2008-04-28
dc.date.accessioned2026-07-07T09:35:38Z
dc.date.available2026-07-07T09:35:38Z
dc.descriptionWe will show that if (Ω,Σ,μ) 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}(μ,X) is contractible in the strong operator topology. We do not require Σor X above to be separable.
dc.identifierhttps://arxiv.org/abs/0804.4427
dc.identifierhttp://arxiv.org/abs/0804.4427
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159893
dc.subjectFunctional Analysis
dc.subject46B04; 46B25; 46E40
dc.titleThe isometry group of L^{p}(μ,\X) is SOT-contractible
dc.typetext

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