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
Descripción
Sumario: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)) ≡ {[script lowercase]f([italic]A): [italic]A ∈[script]S([italic]E)} are characterized. Some applications serve to illustrate the interplay between the analyticity of the functions and the spectral behavior of the operators.588Print version record.
Notas:"November 1989, Volume 82, Number 417 (second of 3 numbers)."
Descripción Física:1 online resource (iv, 104 pages)
Bibliografía:Includes bibliographical references (pages 102-104).
ISBN:9781470408404
1470408406
ISSN:0065-9266 ;
0065-9266

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