Injective factorization of holomorphic mappings

González, Manuel; Gutiérrez, Joaquín

doi:10.1090/S0002-9939-99-04917-5

Injective factorization of holomorphic mappings
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by Manuel González and Joaquín M. Gutiérrez PDF

Proc. Amer. Math. Soc. 127 (1999), 1715-1721 Request permission

Erratum: Proc. Amer. Math. Soc. 129 (2001), 1255-1256.

Abstract:

We characterize the holomorphic mappings $f$ between complex Banach spaces that may be written in the form $f=g\circ T$, where $g$ is another holomorphic mapping and $T$ is an operator belonging to a closed injective operator ideal. Analogous results are previously obtained for multilinear mappings and polynomials.

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