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On the Schwarz lemma in infinite dimensions.

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Prieto Yerro, M. Ángeles (1992) On the Schwarz lemma in infinite dimensions. Comptes Rendus de l'Académie des Sciences. Série I. Mathématique , 314 (10). pp. 741-742. ISSN 0764-4442

Official URL: http://cat.inist.fr/?aModele=afficheN&cpsidt=4430371



Abstract

This Note provides a new estimate concerning the Schwarz lemma in infinite dimensions. Namely we prove that, for a holomorphic mapping between the unit balls of two complex Banach spaces, the image of the ball of radius r < 1 is strictly inside the unit ball.


Item Type:Article
Uncontrolled Keywords:Schwarz lemma in infinite dimensions
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:17526
Deposited On:21 Dec 2012 11:37
Last Modified:08 May 2013 17:32

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