On the Nachbin topology in spaces of holomorphic functions
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- by Jorge Mujica PDF
- Bull. Amer. Math. Soc. 81 (1975), 904-906
References
-
1. H. Alexander, Analytic functions on Banach spaces. Thesis, University of California, Berkeley, Calif., 1968.
- Richard M. Aron, Holomorphy types for open subsets of a Banach space, Studia Math. 45 (1973), 273–289. MR 341088, DOI 10.4064/sm-45-3-273-289
- Soo Bong Chae, Holomorphic germs on Banach spaces, Ann. Inst. Fourier (Grenoble) 21 (1971), no. 3, 107–141 (English, with French summary). MR 344888, DOI 10.5802/aif.381
- Gérard Coeuré, Fonctions plurisousharmoniques sur les espaces vectoriels topologiques et applications àe l’étude des fonctions analytiques, Ann. Inst. Fourier (Grenoble) 20 (1970), no. fasc. 1, 361–432 (French, with English summary). MR 274804, DOI 10.5802/aif.345
- Seán Dineen, Topologie de Nachbin et prolongement analytique en dimension infinie, C. R. Acad. Sci. Paris Sér. A-B 271 (1970), A643–A644 (French). MR 275130
- Seán Dineen, Holomorphy types on a Banach space, Studia Math. 39 (1971), 241–288. (errata insert). MR 304705, DOI 10.4064/sm-39-3-241-288
- Seán Dineen, Holomorphic functions on $(c_{0},\,X_{b})$-modules, Math. Ann. 196 (1972), 106–116. MR 300070, DOI 10.1007/BF01419608 8. M. Matos, Holomorphic mappings and domains of holomorphy, Centro Brasileiro de Pesquisas Fisicas, Rio de Janeiro, 1970. 9. J. Mujica, Spaces of germs of holomorphic functions, Thesis, University of Rochester, Rochester, N. Y., 1974.
- Leopoldo Nachbin, Topology on spaces of holomorphic mappings, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 47, Springer-Verlag New York, Inc., New York, 1969. MR 0254579, DOI 10.1007/978-3-642-88511-2 11. L. Nachbin, Concerning spaces of holomorphic mappings, Rutgers University, New Brunswick, N. J., 1970.
- Martin Schottenloher, Über analytische Fortsetzung in Banachräumen, Math. Ann. 199 (1972), 313–336 (German). MR 350073, DOI 10.1007/BF01431483
Additional Information
- Journal: Bull. Amer. Math. Soc. 81 (1975), 904-906
- MSC (1970): Primary 46E10, 46E25; Secondary 32D10
- DOI: https://doi.org/10.1090/S0002-9904-1975-13880-8
- MathSciNet review: 0383078