A note on a functional inequality.
Alzer, Horst (1992)
International Journal of Mathematics and Mathematical Sciences
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A note on a functional inequality.
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Let A be a complex Banach algebra with a unit e, let F be a nonconstant entire function, and let T be a linear functional with T(e)=1 and such that T∘F: A → ℂ is nonsurjective. Then T is multiplicative.