Revistes Catalanes amb Accés Obert (RACO)

Fonctions analytiques de contractions topologiques dans les algèbres hermitiennes

Abdellah Elkinani

Resum


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 anyalytic vector valued functions in Hermitian Banach algebras. We also make an extension of other results such as Schwarz’s lemma and Pick’s theorem.

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