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Abstract: We present two new forms in which the Frechet differential of a power seriesin a Banach algebra can be expressed in terms of absolutely convergent seriesinvolving the commutant $CT:A\mapsto A,T$.Then we apply the results to theanalytic functional calculus in a complex Banach space.



Autor: Benedetto Silvestri

Fuente: https://arxiv.org/







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