%0 Journal Article %A Prieto Yerro, M. Ángeles %T On the Schwarz lemma in infinite dimensions. %D 1992 %@ 0764-4442 %U https://hdl.handle.net/20.500.14352/57776 %X 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. %~