Linearization of bounded holomorphic mappings on Banach spaces
Linearization of bounded holomorphic mappings on Banach spaces
The main result in this paper is the following linearization theorem. For each open set $U$ in a complex Banach space $E$, there is a complex Banach space ${G^\infty }(U)$ and a bounded holomorphic mapping ${g_U}:U \to {G^\infty }(U)$ with the following universal property: For each complex Banach space $F$ …