The Cartan-Thullen theorem for Banach spaces
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1970)
- Volume: 24, Issue: 4, page 667-676
- ISSN: 0391-173X
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topDineen, Seán. "The Cartan-Thullen theorem for Banach spaces." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 24.4 (1970): 667-676. <http://eudml.org/doc/83544>.
@article{Dineen1970,
author = {Dineen, Seán},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {4},
pages = {667-676},
publisher = {Scuola normale superiore},
title = {The Cartan-Thullen theorem for Banach spaces},
url = {http://eudml.org/doc/83544},
volume = {24},
year = {1970},
}
TY - JOUR
AU - Dineen, Seán
TI - The Cartan-Thullen theorem for Banach spaces
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1970
PB - Scuola normale superiore
VL - 24
IS - 4
SP - 667
EP - 676
LA - eng
UR - http://eudml.org/doc/83544
ER -
References
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- [4] Cartan, II. and P. Thullen, Regularitäts — und Konvergenzbereiche, Math. Ann.106 (1932) 617-647. Zbl0004.35704MR1512777JFM58.0347.02
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- [7] Dineen, S., Holomorphy types on a Banach space, University of Maryland, Thesis, (1969) (to be published in Studia Math.). Zbl0235.32013MR304705
- [8] Dineen, S., Unbounded holomorphic functions on a Banach space, (to be published in Jour. Lond. Math. Soc.). Zbl0244.46015
- [9] Gupta, C.P., Malgrange theorem for nuclearly entire functions of bounded type on a Banach space, University of Rochester, Thesis (1966). Reproduced in Notas de Matematica Pura e Aplicada, Rio de Janeiro (1968). Zbl0182.45402MR632066
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- [14] Horváth, J., Topological vector spaces and distributions, Vol. I, Addison-Wesley, 1966. Zbl0143.15101MR205028
- [15] Nachbin, L., Holomorphic functions, domains of holomorphy and local properties. Lecture notes at the University of Rochester, 1967, Prepared by R. M. Aron. Zbl0208.10301MR274798
- [16] Nachbin, L., Thopology on spaces of holomorphic mappings. Ergebnisse der Matematik und ihre grenzgebiete 47. Springer-Verlag, Berlin (1969). Zbl0172.39902MR254579
- [17] Nachbin, L., Concerning holomorphy types for Banach spaces, Proceedings of the Colloqnium on Nuclear Spacer and Ideals in Operator Algebras held in Warsaw, Poland, (1969) (to be published in Studia Mathematica). Zbl0212.14701MR278055
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Citations in EuDML Documents
top- Chae Soo Bong, Holomorphic germs on Banach spaces
- André Hirschowitz, Prolongement analytique en dimension infinie
- Luiza A. Moraes, Theorems of the Cartan-Thullen Type and -envelope of Holomorphy for Every Holomorphy Type
- L. Nachbin, Sur quelques aspects récents de l'holomorphie en dimension infinie
- Jean-Pierre Vigué, Le groupe des automorphismes analytiques d'un domaine borné d'un espace de Banach complexe. Application aux domaines bornés symétriques
- Seán Dineen, Richard M. Timoney, Jean-Pierre Vigué, Pseudodistances invariantes sur les domaines d'un espace localement convexe
- Sean Dineen, Holomorphic functions on locally convex topological vector spaces. I. Locally convex topologies on
- Sean Dineen, Holomorphic functions on locally convex topological vector spaces. II. Pseudo convex domains
- Jorge Mujica, Spaces of holomorphic mappings on Banach spaces with a Schauder basis
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