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Dieudonné, Jean; Schwartz, Laurent

La dualité dans les espaces \((\mathcal F)\) et \((\mathcal{LF})\). (French) Zbl 0035.35501

Ann. Inst. Fourier 1, 61-101 (1949).
Reviewer: G. Köthe (Mainz)
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Cited in 1 Review
Cited in 102 Documents

MSC:

46-XX Functional analysis

Keywords:

functional analysis; duality
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\textit{J. Dieudonné} and \textit{L. Schwartz}, Ann. Inst. Fourier 1, 61--101 (1949; Zbl 0035.35501)
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References:

[1] R. ARENS, Duality in linear spaces, Duke Math. Journ., t. 14 (1947), p. 787-794. · Zbl 0030.03403
[2] S. BANACH, Théorie des opérations linéaires, Warszawa, 1932. · JFM 58.0420.01
[3] N. BOURBAKI, Éléments de mathématique, livre II : Algèbre (Act. Scient. et Ind., nos 934, 1032 et 1044, Paris (Hermann), 1943-1948).
[4] N. BOURBAKI, Éléments de mathématique, livre III : Topologie générale (Act. Scient. et Ind., nos 858, 916, 1029, 1045 et 1084, Paris (Hermann), 1940-1949).
[5] J. DIEUDONNÉ, La dualité dans LES espaces vectoriels topologiques, Annales de l’École Normale Supérieure, t. 59 (1942), p. 107-139. · JFM 68.0238.02
[6] J. DIEUDONNÉ, Natural homomorphisms in Banach spaces, Proceedings of the American Mathematical Society, t. 56 (1950). · Zbl 0035.35403
[7] W. F. EBERLEIN, Weak compactness in Banach spaces, I, Proceedings of the National Academy of Sciences, t. 33 (1947), p. 51-53. · Zbl 0029.26902
[8] V. GANAPATHY IYER, On the space of integral functions, I, Journal of the Indian Mathematical Society, t. 12 (1948), p. 13-30. · Zbl 0031.12802
[9] A. KOLMOGOROFF, Zur normierbarkeit eines allgemeinen topologischen linearen raumes, Studia Mathematica, t. 5 (1935), p. 29-33. · Zbl 0010.18202
[10] G. KÖTHE, Die stufenraüme, eine einfache klasse linearer vollkommener raüme, Mathematische Zeitschrift, t. 51 (1948), p. 317-345. · Zbl 0031.03402
[11] G. W. MACKEY, On infinite-dimensional linear spaces, Transactions of the American Mathematical Society, t. 57 (1945), p. 155-207. · Zbl 0061.24301
[12] G. W. MACKEY, On convex topological linear spaces, Transactions of the American Mathematical Society, t. 60 (1946), p. 520-537. · Zbl 0061.24302
[13] L. SCHWARTZ, Théorie des distributions, Paris, Hermann, 1950. · Zbl 0037.07301
[14] V. ŠMULIAN, Über lineare topologische raüme, Mat. Sbornik, N. S., t. 7 (1941), p. 425-448. · JFM 66.0526.02
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