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| HAL: hal-00369047, version 1 |
| DOI: 10.1007/s00013-007-1862-7 |
| Detailed view |  Export this paper |
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| Archiv der Mathematik 88, 6 (2007) 547-559 |
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| Operators with numerical range in a conic domain |
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| Bernhard Beckermann 1Michel Crouzeix 2 |
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| (2007) |
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| Given a convex domain with conic boundary, a linear operator A with numerical range contained in Ω, and a rational function bounded on Ω, we are interested in estimating the norm of r(A) in terms of the supremum of r in Ω. In particular, we show that ellipses, hyperbolas and parabolas are K-spectral sets with |
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| 1: | Laboratoire Paul Painlevé (LPP) |
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CNRS : UMR8524 – Université Lille I - Sciences et technologies |
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| 2: | Institut de Recherche Mathématique de Rennes (IRMAR) |
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CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne |
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| Subject | : | Mathematics/Numerical Analysis |
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| Numerical range – field of values – spectral sets |
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| hal-00369047, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00369047 | |
| oai:hal.archives-ouvertes.fr:hal-00369047 | |
| From: Dominique Hervé | |
| Submitted on: Wednesday, 18 March 2009 11:51:56 | |
| Updated on: Wednesday, 18 March 2009 11:51:56 | |
