Additivity of Jordan *-maps between operator algebras
Let M be a unital \(C^*\)-algebra and let N be an associative *-algebra. A bijection \(\phi\) from M to N which preserves the Jordan structure and the involution is said to be a Jordan *-map. The authors show that if M has a system of \(n\times n\) matrix units (n\(\geq 2)\) then every Jordan *- map is additive.
scientific article; zbMATH DE number 4011208