Fonctions analytiques de contractions topologiques dans les algèbres hermitiennes

Autores: Abdellah El Kinani
Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 41, Fasc. 3, 1990, págs. 197-216
Idioma: francés
Títulos paralelos:
- Funciones analíticas de contracciones topológicas en las álgebras hermíticas
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Resumen
- In this paper we define a functional calculus, for harmonic vector valued functions, in Banach algebras with continuous involution. Using this calculus, we generalize in two settings the results of Shih and Tan on analytic functions of topological proper contractions to analytic vector valued functions in Hermitian Banach algebras. We also make an extension of other results such as Schwarz's lemma and Pick's theorem.