Geodesic
A special version of the Schwarz lemma on an infinite dimensional domain
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 8 (1997) no. 2, pp. 107-110.

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Let \( B \) be the open unit ball of a Banach space \( E \), and let \( f : B \rightarrow B \) be a holomorphic map with \( f(0) = 0 \). In this paper, we discuss a condition whereby \( f \) is a linear isometry on \( E \).
Sia \( B \) il disco unità aperto di uno spazio di Banach complesso. Si determina una condizione perché un'applicazione olomorfa \( f : B \rightarrow B \), con \( f(0) = 0 \), sia un'isometria lineare. 
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     title = {A special version of the {Schwarz} lemma on an infinite dimensional domain},
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Honda, Tatsuhiro. A special version of the Schwarz lemma on an infinite dimensional domain. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 8 (1997) no. 2, pp. 107-110. http://geodesic.mathdoc.fr/item/RLIN_1997_9_8_2_a2/

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