Calcul fonctionnel dépendant de la croissance des coefficients spectraux

On non-holomorphic functional calculus for commuting operators

“…Similar results to the one in this paper have been proved in Nguyen [13]. In the setting where one has a tuple a of elements in a commutative Banach algebra (or more general a b-algebra) he extends the holomorphic functional calculus.…”

“…In the setting where one has a tuple a of elements in a commutative Banach algebra (or more general a b-algebra) he extends the holomorphic functional calculus. The method of the proof of the multiplication property in [13] …”