Displaying similar documents to “Harmonic functional calculus in a quotient involutive Banach algebra. (Calcul fonctionnel harmonique dans une algèbre de Banach involutive quotient.)”

Caracterisations de certaines algèbres de Banach par le calcul fonctionnel

A. Akkar, Abdellah El Kinani, M. Oudadess (1989)

Extracta Mathematicae

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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.