The existence of angular derivatives of holomorphic maps of Siegel domains in a generalization of $ C^{*} $-algebras

Włodarczyk, Kazimierz

The existence of angular derivatives of holomorphic maps of Siegel domains in a generalization of

C^{*}

-algebras

Włodarczyk, Kazimierz

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 5 (1994), p. 309-328 / Harvested from Biblioteca Digitale Italiana di Matematica

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Abstract
Résumé

The aim of this paper is to start a systematic investigation of the existence of angular limits and angular derivatives of holomorphic maps of infinite dimensional Siegel domains in $J^{*}$ -algebras. Since $J^{*}$ -algebras are natural generalizations of $C^{*}$ -algebras, $B^{*}$ -algebras, $J C^{*}$ -algebras, ternary algebras and complex Hilbert spaces, various significant results follow. Examples are given.

Questo articolo ha lo scopo di avviare uno studio sistematico dell'esistenza di limiti e derivate angolari di mappe olomorfe di domini di Siegel di dimensione infinita in algebre $J^{*}$ . Poiché le algebre $J^{*}$ sono generalizzazioni naturali di algebre $C^{*}$ , algebre $B^{*}$ , algebre $J C^{*}$ , algebre ternarie e spazi di Hilbert complessi, ne seguono diversi risultati significativi. Vengono esaminati alcuni esempi.

Publié le : 1994-12-01

MR 1320583 | Zbl 0827.47030

@article{RLIN_1994_9_5_4_309_0,
     author = {Kazimierz W\l odarczyk},
     title = {The existence of angular derivatives of holomorphic maps of Siegel domains in a generalization of \( C^{*} \)-algebras},
     journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
     volume = {5},
     year = {1994},
     pages = {309-328},
     zbl = {0827.47030},
     mrnumber = {1320583},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLIN_1994_9_5_4_309_0}
}

Włodarczyk, Kazimierz. The existence of angular derivatives of holomorphic maps of Siegel domains in a generalization of \( C^{*} \)-algebras. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 5 (1994) pp. 309-328. http://gdmltest.u-ga.fr/item/RLIN_1994_9_5_4_309_0/

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