On Generalized Numerical Ranges of Quadratic Operators

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dc.creatorRodman, Leiba
dc.creatorSpitkovsky, Ilya M.
dc.date2006-02-14
dc.date.accessioned2026-07-07T07:03:26Z
dc.date.available2026-07-07T07:03:26Z
dc.descriptionIt is shown that the result of Tso-Wu on the elliptical shape of the numerical range of quadratic operators holds also for the essential numerical range. The latter is described quantitatively, and based on that sufficient conditions are established under which the c-numerical range also is an ellipse. Several examples are considered, including singular integral operators with the Cauchy kernel and composition operators.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0602318
dc.identifierhttp://arxiv.org/abs/math/0602318
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108971
dc.subjectFunctional Analysis
dc.subject47A12; 45E05, 47B33, 47B35
dc.titleOn Generalized Numerical Ranges of Quadratic Operators
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