Birkhoff's theorem and multidimensional numerical range

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dc.creatorSafarov, Yuri
dc.date2001-10-12
dc.date2005-12-19
dc.date.accessioned2026-07-07T06:35:26Z
dc.date.available2026-07-07T06:35:26Z
dc.descriptionWe study the relation between the spectrum of a self-adjoint operator and its multidimensional numerical range. It turns out that the multidimensional numerical range is a convex set whose extreme points are sequences of eigenvalues of the operator. Every collection of eigenvalues which can be obtained by the Rayleigh--Ritz formula generates an extreme point of the multidimensional numerical range. However, it may also have other extreme points.
dc.description35 pages
dc.identifierhttps://arxiv.org/abs/math/0110131
dc.identifierhttp://arxiv.org/abs/math/0110131
dc.identifierJ. Funct. Anal., Vol. 222, 1 (2005), 61--97
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99794
dc.subjectSpectral Theory
dc.subject47A12, 05C50
dc.titleBirkhoff's theorem and multidimensional numerical range
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