A special version of the Schwarz lemma on an infinite dimensional domain

Honda, Tatsuhiro

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 8 (1997), p. 107-110 / Harvested from Biblioteca Digitale Italiana di Matematica

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Abstract
Résumé

Let $B$ be the open unit ball of a Banach space $E$ , and let $f : B \to B$ 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 $f : B \to B$ , con $f (0) = 0$ , sia un'isometria lineare.

Publié le : 1997-07-01

MR 1485322 | Zbl 0890.32012

@article{RLIN_1997_9_8_2_107_0,
     author = {Tatsuhiro Honda},
     title = {A special version of the Schwarz lemma on an infinite dimensional domain},
     journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
     volume = {8},
     year = {1997},
     pages = {107-110},
     zbl = {0890.32012},
     mrnumber = {1485322},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLIN_1997_9_8_2_107_0}
}

Honda, Tatsuhiro. A special version of the Schwarz lemma on an infinite dimensional domain. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 8 (1997) pp. 107-110. http://gdmltest.u-ga.fr/item/RLIN_1997_9_8_2_107_0/

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