Geodesic
Linearization of holomorphic mappings on fully nuclear spaces with a basis
Glasgow mathematical journal, Tome 36 (1994) no. 2, pp. 201-208

Voir la notice de l'article provenant de la source Cambridge University Press

In [13] Mazet proved the following result.If U is an open subset of a locally convex space E then there exists a complete locally convex space (U) and a holomorphic mapping δU: U→(U) such that for any complete locally convex space F and any f ɛ H (U;F), the space of holomorphic mappings from U to F, there exists a unique linear mapping Tf: (U)→F such that the following diagram commutes;The space (U) is unique up to a linear topological isomorphism. Previously, similar but less general constructions, have been considered by Ryan [16] and Schottenloher [17]. 
Dineen, Seán; Galindo, Pablo; García, Domingo; Maestre, Manuel. Linearization of holomorphic mappings on fully nuclear spaces with a basis. Glasgow mathematical journal, Tome 36 (1994) no. 2, pp. 201-208. doi: 10.1017/S0017089500030743
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