3 papers
math.RT2026
Commutativity via Spectral Equivalences of the Jordan Product in Banach Algebras
Muhammad Hassen
Spectral characterizations of algebraic structure have a long history in the theory of Banach algebras. It is known that weak spectral information may force strong algebraic conseq…
math.FA2025
The Multiplicative Kowalski-Slodkowski Theorem for Hermitian Algebras
Rudi Brits, Muhammad Hassen, Cheick Toure
We prove, for Hermitian algebras, the multiplicative version of the Kowalski-SÅodkowski Theorem which identifies the characters among the collection of all complex valued function…
math.FA2024
Commutativity and orthogonality of similarity orbits in Banach algebras
Muhammad Hassen, Rudi Brits, Francois Schulz
For a semisimple unital Banach algebra over , and elements we show that the similarity orbits, and , over the princip…