Prieto Yerro, M. Ángeles2023-06-202023-06-2019920764-4442https://hdl.handle.net/20.500.14352/57776This 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.On the Schwarz lemma in infinite dimensions.journal articlehttp://cat.inist.fr/?aModele=afficheN&cpsidt=4430371metadata only access517.98Schwarz lemma in infinite dimensionsAnálisis funcional y teoría de operadores