On a theorem of Vesentini

• Autorzy: Gerd Herzog , Christoph Schmoeger
• Języki publikacji: EN

Abstrakty

EN

Let 𝒜 be a Banach algebra over ℂ with unit 1 and 𝑓: ℂ → ℂ an entire function. Let 𝐟: 𝒜 → 𝒜 be defined by
𝐟(a) = 𝑓(a) (a ∈ 𝒜),
where 𝑓(a) is given by the usual analytic calculus. The connections between the periods of 𝑓 and the periods of 𝐟 are settled by a theorem of E. Vesentini. We give a new proof of this theorem and investigate further properties of periods of 𝐟, for example in C*-algebras.

Kategorie tematyczne

• 46H30: Functional calculus in topological algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2004
• Tom: 162
• Numer: 2
• Strony: 183-193

Daty

wydano

2004

Twórcy

autor

Gerd Herzog

• Mathematisches Institut I, Universität Karlsruhe, D-76128 Karlsruhe, Germany

autor

Christoph Schmoeger

• Mathematisches Institut I, Universität Karlsruhe, D-76128 Karlsruhe, Germany

Identyfikatory

DOI

10.4064/sm162-2-6