Injective factorization of holomorphic mappings

Authors
Gonzalez, M Gutierrez, JM
Citation
M. Gonzalez et Jm. Gutierrez, Injective factorization of holomorphic mappings, P AM MATH S, 127(6), 1999, pp. 1715-1721
Citations number
14
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
127
Issue
6
Year of publication
1999
Pages
1715 - 1721
Database
ISI
SICI code
0002-9939(199906)127:6<1715:IFOHM>2.0.ZU;2-V
Abstract
We characterize the holomorphic mappings f between complex Banach spaces th at may be written in the form f = g circle T, where g is another holomorphi c mapping and T is an operator belonging to a closed injective operator ide al. Analogous results are previously obtained for multilinear mappings and polynomials.