Frechet differential of a power series in Banach algebras

• Autorzy: Silvestri B.
• Języki publikacji: EN

Abstrakty

EN

We present two new forms in which the Fréchet differential of a power series in a unitary Banach algebra can be expressed in terms of absolutely convergent series involving the commutant C(T) : A → [A, T]. Then we apply the results to study series of vector-valued functions on domains in Banach spaces and to the analytic functional calculus in a complex Banach space.

Słowa kluczowe

EN

Frechet differentiation in Banach algebras; functional calculus

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2010
• Tom: Vol. 30, no. 2
• Strony: 155--177
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Silvestri B.

• Dipartimento di Matematica Pura ed Applicata via Trieste, 63, 35121 Padova, Italy,

Bibliografia

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