On some relations between linear and holomorphic mappings on Banach spaces

Abstract

Three aspects of the theory of holomorphic mappings hetween Banach spaces are presented in connection with the theory of continious linear operators: (1) the hehavious of H ( E, F) versus the approximation property on E ; (2) extension theorems for holomorphic mappings (holomoxphic Hahn-Banach theorems); (3) holomorphic mappings and quotients.