Resumen de Caracterisations de certain algebres de Banach par le calcul functionnel

Abdellah El Kinani, Mohamed Oudadess, M. Akkar

• We show that the Banach algebras with continuous involution are the Banach algebras which admit a harmonic functional calculus, while we prove that the hermitian commutative Banach algebras are exactly the involutive commutative Banach algebras that admit a real analytic functional calculus