Spectrum preserving linear mappings in Banach algebras
Volume 109 / 1994
Studia Mathematica 109 (1994), 91-100
DOI: 10.4064/sm-109-1-91-100
Abstract
Let A and B be two unitary Banach algebras. We study linear mappings from A into B which preserve the polynomially convex hull of the spectrum. In particular, we give conditions under which such surjective linear mappings are Jordan morphisms.
