Differentiability of functions of contractions

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dc.creatorPeller, V. V.
dc.date2008-05-28
dc.date.accessioned2026-07-07T09:41:22Z
dc.date.available2026-07-07T09:41:22Z
dc.descriptionIn this paper we study differentiability properties of the map $T\mapstoϕ(T)$, where $ϕ$ is a given function in the disk-algebra and $T$ ranges over the set of contractions on Hilbert space. We obtain sharp conditions (in terms of Besov spaces) for differentiability and existence of higher derivatives. We also find explicit formulae for directional derivatives (and higher derivatives) in terms of double (and multiple) operator integrals with respect to semi-spectral measures.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/0805.4370
dc.identifierhttp://arxiv.org/abs/0805.4370
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161806
dc.subjectFunctional Analysis
dc.subjectClassical Analysis and ODEs
dc.subjectComplex Variables
dc.subjectSpectral Theory
dc.subject47A55; 47B35
dc.titleDifferentiability of functions of contractions
dc.typetext

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