On a theorem of Vesentini
Gerd Herzog; Christoph Schmoeger
Studia Mathematica (2004)
- Volume: 162, Issue: 2, page 183-193
- ISSN: 0039-3223
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topGerd Herzog, and Christoph Schmoeger. "On a theorem of Vesentini." Studia Mathematica 162.2 (2004): 183-193. <http://eudml.org/doc/286337>.
@article{GerdHerzog2004,
abstract = {
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.
},
author = {Gerd Herzog, Christoph Schmoeger},
journal = {Studia Mathematica},
keywords = {Banach algebra; entire functions; functional calculus; periods},
language = {eng},
number = {2},
pages = {183-193},
title = {On a theorem of Vesentini},
url = {http://eudml.org/doc/286337},
volume = {162},
year = {2004},
}
TY - JOUR
AU - Gerd Herzog
AU - Christoph Schmoeger
TI - On a theorem of Vesentini
JO - Studia Mathematica
PY - 2004
VL - 162
IS - 2
SP - 183
EP - 193
AB -
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.
LA - eng
KW - Banach algebra; entire functions; functional calculus; periods
UR - http://eudml.org/doc/286337
ER -
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