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Convex domains and K-spectral sets

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Let Ω be an open convex domain of . We study constants K such that Ω is K-spectral or complete K-spectral for each continuous linear Hilbert space operator with numerical range included in Ω. Several approaches are discussed.

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Authors and Affiliations

  1. Département de Mathématiques, UMR CNRS no. 8524, Université de Lille I, F–59655, Villeneuve d'Ascq, France

    Catalin Badea

  2. Institut de Recherche Mathématique de Rennes, UMR CNRS no. 6625, Université de Rennes 1, Campus de Beaulieu, 35042, Rennes Cedex, France

    Michel Crouzeix & Bernard Delyon

Authors
  1. Catalin Badea
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  2. Michel Crouzeix
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  3. Bernard Delyon
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Correspondence to Catalin Badea.

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Badea, C., Crouzeix, M. & Delyon, B. Convex domains and K-spectral sets. Math. Z. 252, 345–365 (2006). https://doi.org/10.1007/s00209-005-0857-y

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  • DOI: https://doi.org/10.1007/s00209-005-0857-y

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