Multiplicative functionals and entire functions, II
Volume 124 / 1997
Studia Mathematica 124 (1997), 193-198
DOI: 10.4064/sm-124-2-193-198
Abstract
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.
