Corners of multidimensional numerical ranges

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dc.creatorShkarin, S.
dc.date2009-03-02
dc.date.accessioned2026-07-07T12:48:08Z
dc.date.available2026-07-07T12:48:08Z
dc.descriptionThe $n$-dimensional numerical range of a densely defined linear operator $T$ on a complex Hilbert space $\H$ is the set of vectors in $\C^n$ of the form $(< Te_1,e_1>,...,< Te_n,e_n>)$, where $e_1,...,e_n$ is an orthonormal system in $\H$, consisting of vectors from the domain of $T$. We prove that the components of every corner point of the $n$-dimensional numerical range are eigenvalues of $T$.
dc.identifierhttps://arxiv.org/abs/0903.0269
dc.identifierhttp://arxiv.org/abs/0903.0269
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221953
dc.subjectFunctional Analysis
dc.subjectSpectral Theory
dc.subject47A12
dc.titleCorners of multidimensional numerical ranges
dc.typetext

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