Włodarczyk: Angular limits and derivatives for holomorphic maps of infinite dimensional bounded homogeneous domains

Włodarczyk, Kazimierz:
Angular limits and derivatives for holomorphic maps of infinite dimensional bounded homogeneous domains (Limiti e derivate angolari per le applicazioni olomorfe di domini limitati omogenei di dimensione infinita)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni Serie 9 5 (1994), fasc. n.1, p. 43-53, (English)
pdf (1.24 MB), djvu (285 Kb). | MR1273892 | Zbl 0802.46060

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Da un'estensione di dimensione infinita del teorema di Pick-Julia vengono dedotte condizioni, «alla Carathéodory», sufficienti per l'esistenza di limiti angolari e derivate angolari per applicazioni olomorfe di domini limitati omogenei simmetrici in algebre \( J^{*} \) ed in spazi di Hilbert. Si considerano alcuni esempi e si studiano funzioni analitiche i cui valori sono degli operatori.

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Referenze Bibliografiche