Let A be a complex Banach algebra with a unit e, let T, φ be continuous functionals, where T is linear, and let F be a nonlinear entire function. If T ∘ F = F ∘ φ and T(e) = 1 then T is multiplicative.
@article{bwmeta1.element.bwnjournal-article-smv119i3p289bwm,
author = {Krzysztof Jarosz},
title = {Multiplicative functionals and entire functions},
journal = {Studia Mathematica},
volume = {119},
year = {1996},
pages = {289-297},
zbl = {0868.46037},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv119i3p289bwm}
}
Jarosz, Krzysztof. Multiplicative functionals and entire functions. Studia Mathematica, Tome 119 (1996) pp. 289-297. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv119i3p289bwm/
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