Quasi-isometric vector bundles and bounded factorization of holomorphic matrices
[Fibrés vectoriels quasi isométriques et factorisation bornée des matrices holomorphes]
Berndtsson, Bo ; Rosay, Jean-Pierre
Annales de l'Institut Fourier, Tome 53 (2003), p. 885-901 / Harvested from Numdam
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Nous donnons une condition suffisante pour qu'un fibré vectoriel holomorphe hermitien sur le disque soit quasi isométrique au fibré trivial. Une des conséquences est une version du Lemme de Cartan sur la factorisation des matrices holomorphes pour les matrices holomorphes bornées.

We give a sufficient condition for a hermitian holomorphic vector bundle over the disk to be quasi-isometric to the trivial bundle. One consequence is a version of Cartan's lemma on the factorization of matrices with uniform bounds.

Publié le : 2003-01-01
DOI : https://doi.org/10.5802/aif.1964
Classification:  46F20,  32A26
Mots clés: fibré vectoriel, principe du maximum 
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     title = {Quasi-isometric vector bundles and bounded factorization of holomorphic matrices},
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     volume = {53},
     year = {2003},
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     doi = {10.5802/aif.1964},
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Berndtsson, Bo; Rosay, Jean-Pierre. Quasi-isometric vector bundles and bounded factorization of holomorphic matrices. Annales de l'Institut Fourier, Tome 53 (2003) pp. 885-901. doi : 10.5802/aif.1964. http://gdmltest.u-ga.fr/item/AIF_2003__53_3_885_0/

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