Some estimates for analytic functions of strip or sectorial operators

Archiv der Mathematik

Volumn 81, Issue 5, 2003, Pages 559-566

  Crouzeix, Michel ^a   Delyon, Bernard ^a  

^a UNIVERSITÉ DE RENNES 1   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346937640     PISSN: 0003889X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00013-003-0569-7     Document Type: Article

References (7)

1. M. CROUZEIX, Une majoration du type von Neumann pour les fractions rationnelles d'opérateurs sectoriels. C. R. Acad. Sci Paris Sér. 1, 330, 513-516 (2000).
2. B. DELYON and F. DELYON, Generalization of Von Neumann's spectral sets and integral representation of operators. Bull. Soc. Math. France 127(1), 25-42, (1999).
3. T. KATO, Mapping theorems for the numerical range. Proc. Japan Acad. 41(8), 652-655 (1965).
4. C. LE MERDY, Similarities of ω-accretive operators. CMA Proceedings (Canberra). To appear.
5. V. PAULSEN, Completely bounded maps and dilations. Res. Notes Math. 146, New York 1986.
6. J. VON NEUMANN, Eine Spektraltheorie für allgemeine Operatoren eines unitären Raumes. Math. Nachr. 4, 258-281 (1951).
7. F. RIESZ et B. SZ.-NAGY, Leçons d'analyse fonctionnelle. Paris 1968.