Multiplicatively spectrum-preserving maps on C*-algebras
Abstract
We study surjective maps between the sets of all self-adjoint elements of unital C∗-algebras which satisfy the multiplicatively spectrum-preserving property. We show that such maps are characterized by Jordan isomorphisms and central symmetries. This is an answer to a problem posed by Molnar.
Fields of Study & Subjects
Advanced Operator Algebra Research
Advanced Banach Space Theory
Holomorphic and Operator Theory
Publication details
- Journal / source
- Journal of Operator Theory
- Volume
- 95
- Issue
- 1
- Pages
- 153–158
- Publication date
- 1 March 2026
- Language
- EN