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Aron, Richard M.; Berner, Paul D.

A Hahn-Banach extension theorem for analytic mappings. (English) Zbl 0378.46043

Bull. Soc. Math. Fr. 106, 3-24 (1978).
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Cited in 22 Reviews
Cited in 113 Documents

MSC:

46G99 Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces)
46B10 Duality and reflexivity in normed linear and Banach spaces
58B10 Differentiability questions for infinite-dimensional manifolds
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References:

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[8] LINDESTRAUSS (J.) and TZAFRIRI (L.) . - On the complemented subspaces problem , Israel J. Math., t. 9, 1971 , p. 263-269. MR 43 #2474 | Zbl 0211.16301 · Zbl 0211.16301 · doi:10.1007/BF02771592
[9] NACHBIN (L.) . - Topology on spaces of holomorphic mappings . - Berlin, Springer-Verlag, 1969 (Ergebnisse der Mathematik, 47). MR 40 #7787 | Zbl 0172.39902 · Zbl 0172.39902
[10] NACHBIN (L.) . - Recent developments in infinite dimensional holomorphy , Bull. Amer. math. Soc., t. 79, 1973 , p. 625-640. Article | MR 48 #871 | Zbl 0279.32017 · Zbl 0279.32017 · doi:10.1090/S0002-9904-1973-13244-6
[11] NOVERRAZ (P.) . - Pseudo-convexité, convexité polynomiale et domaines d’holomorphie en dimension infinie . - Amsterdam, North-Holland publishing company, 1973 (North-Holland mathematics Studies, 3; Notas de Matematica, 48). MR 50 #10814 | Zbl 0251.46049 · Zbl 0251.46049
[12] PELCZYNSKI (A.) . - A theorem of Dunford-Pettis type for polynomial operators , Bull. Acad. Polon. Sc., t. 11, 1963 , p. 379-386. MR 28 #4370 | Zbl 0117.33203 · Zbl 0117.33203
[13] RYAN (R.) . - Thesis , Trinity College, University of Dublin. · Zbl 1329.70010
[14] SCHAEFER (H. H.) . - Topological vector spaces . - New York, MacMillan Compagny, 1966 (MacMillan Series in advanced Mathematics); and Berlin, Springer-Verlag, 1971 (Graduate Texts in Mathematics, 3). Zbl 0141.30503 · Zbl 0141.30503
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