We study holomorphic maps between C-algebras and , when is a holomorphic mapping whose Taylor series at zero is uniformly converging in some open unit ball . If we assume that is orthogonality preserving and orthogonally additive on and contains an invertible element in , then there exist a sequence in and Jordan -homomorphisms such that uniformly in . When is abelian, the hypothesis of being unital and can be relaxed to get the same statement.
"Orthogonally Additive and Orthogonality Preserving Holomorphic Mappings between C*-Algebras." Abstr. Appl. Anal. 2013 (SI45) 1 - 9, 2013. https://doi.org/10.1155/2013/415354