Multiplicative functionals and entire functions
Volume 119 / 1996
Studia Mathematica 119 (1996), 289-297
DOI: 10.4064/sm-119-3-289-297
Abstract
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.
