Spectrum as the Support of Functional Calculus

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dc.creatorKisil, Vladimir V.
dc.date2002-08-30
dc.date.accessioned2026-07-07T04:50:29Z
dc.date.available2026-07-07T04:50:29Z
dc.descriptionWe investigate the new definition of analytic functional calculus in the terms of representation theory of SL2(R). We avoid any usage of its algebraic homomorphism property and replace it by the demand to be an intertwining operator. The related notion of spectrum and spectral mapping theorem are given. The construction is illustrated by a simple example of calculus and spectrum of non-normal n x n matrix. Keywords: Functional calculus, spectrum, intertwining operator, spectral mapping theorem, jet spaces.
dc.descriptionLaTeX, pages 10 pages, 1 PS figures
dc.identifierhttps://arxiv.org/abs/math/0208249
dc.identifierhttp://arxiv.org/abs/math/0208249
dc.identifierin Functional Analysis and its Applications (V.Kadets et al eds), Elsevier Sci. Publ., 2004, pp.133-142
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64812
dc.subjectFunctional Analysis
dc.subjectRepresentation Theory
dc.subject47A60, 46H30
dc.titleSpectrum as the Support of Functional Calculus
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