The existence of angular derivatives of holomorphic maps of Siegel domains in a generalization of \( C^{*} \)-algebras
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 5 (1994) no. 4, pp. 309-328
Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica
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, \( JC^{*} \)-algebras, ternary algebras and complex Hilbert spaces, various significant results follow. Examples are given.
@article{RLIN_1994_9_5_4_a4,
author = {W{\l}odarczyk, Kazimierz},
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. Rendiconti Lincei. Matematica e applicazioni},
pages = {309--328},
publisher = {mathdoc},
volume = {Ser. 9, 5},
number = {4},
year = {1994},
zbl = {0827.47030},
mrnumber = {MR1320583},
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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. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 5 (1994) no. 4, pp. 309-328. http://geodesic.mathdoc.fr/item/RLIN_1994_9_5_4_a4/