Title :

Convex domains and K-spectral sets

Author(s) :

Badea, Catalin [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Crouzeix, Michel [Auteur]
Delyon, Bernard [Auteur]
Institut de Recherche Mathématique de Rennes [IRMAR]

Journal title :

Mathematische Zeitschrift

Pages :

345-365

Publisher :

Springer

Publication date :

2006

ISSN :

0025-5874

HAL domain(s) :

Mathématiques [math]/Analyse fonctionnelle [math.FA]
Mathématiques [math]/Algèbres d'opérateurs [math.OA]

English abstract : [en]

Let $\Omega$ be an open convex domain of the complex plane. We study constants K such that $\Omega$ is K-spectral or complete K-spectral for each continuous linear Hilbert space operator with numerical range included in ...
Show more >Let $\Omega$ be an open convex domain of the complex plane. We study constants K such that $\Omega$ is K-spectral or complete K-spectral for each continuous linear Hilbert space operator with numerical range included in $\Omega$. Several approaches are discussed.Show less >

Language :

Anglais

Popular science :

Non

Comment :

the introduction was changed and some remarks have been added. 26 pages ; to appear in Math. Z

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL