Completing the Riesz-Dunford functional calculus /

Let [script lowercase]f be any analytic function defined in a neighborhood of the non-empty set [italic]E and let [script]S([italic]E) denote the set of all operator having spectrum included in [italic]E. In this paper the closure and interior of the set [script lowercase]f([script]S([italic]E)) ≡ {...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Conway, John B., 1939-, Herrero, Domingo A. (Autor), Morrel, Bernard B. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, [1989]
Colección:Memoirs of the American Mathematical Society ; no. 417.
Temas:
Functional analysis.
Analytic functions.
Linear operators.
Analyse fonctionnelle.
Fonctions analytiques.
Opérateurs linéaires.
MATHEMATICS > Essays.
MATHEMATICS > Pre-Calculus.
MATHEMATICS > Reference.
Analytic functions
Functional analysis
Linear operators
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Introduction
  • Spectral preliminaries
  • The closure of [script lowercase]f([script]S([italic]E))
  • Examples
  • Compact perturbations
  • The interior of [script lowercase]f([script]S([italic]E))
  • The closure of the interior of [script lowercase]f([script]S([italic]E))
  • The interior of the closure of [script lowercase]f([script]S([italic]E))
  • Further iterations of the interior and closure.

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