A transference principle for general groups and functional calculus on UMD spaces

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dc.creatorHaase, Markus
dc.date2008-07-24
dc.date.accessioned2026-07-07T09:52:37Z
dc.date.available2026-07-07T09:52:37Z
dc.descriptionWe prove a transference principle for general (i.e., not necessarily bounded) strongly continuous groups on Banach spaces. If the Banach space has the UMD property, the transference principle leads to estimates for the functional calculus of the group generator. In the Hilbert space case, the results cover classical theorems of McIntosh and Boyadzhiev-de Laubenfels; in the UMD case they are analogues of classical results by Hieber and Pruess. By using functional calculus methods, consequences for sectorial operators are derived. For instance it is proved, that every generator of a cosine function on a UMD space has bounded H-infinity calculus on sectors.
dc.description17 pages, no figures. To be published in Mathematische Annalen
dc.identifierhttps://arxiv.org/abs/0807.3906
dc.identifierhttp://arxiv.org/abs/0807.3906
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165662
dc.subjectFunctional Analysis
dc.subjectSpectral Theory
dc.subject47A60, 47D06,44A40,42A45
dc.titleA transference principle for general groups and functional calculus on UMD spaces
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