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Dieudonné, Jean

Sur les espaces de Köthe. (French) Zbl 0044.11703

J. Anal. Math. 1, 81-115 (1951).
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Keywords:

functional analysis
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\textit{J. Dieudonné}, J. Anal. Math. 1, 81--115 (1951; Zbl 0044.11703)
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References:

[1] S. Banach,Théorie des opérations linéaires, Warszawa, 1932.
[2] N. Bourbaki,Éléments de Mathématique, livre III: Topologie générale, chapitre IX (Act. Scient. et Ind., n0 1045, Paris (Hermann & Cie), 1942.
[3] J. Dieudonné, La dualité dans les espaces vectoriels topologiques,Annales de l’École Normale Supérieure, t. 59 (1942), p. 107–139.
[4] J. Dieudonné et L. Schwartz, La dualité dans les espaces (F) et (LF),Annales de l’Institut Fourier, t. 1 (1949), p. 61–101.
[5] J. Dieudonné et A. Pereira Gomes, Sur certains espaces vectoriels topologiques,Comptes-rendus de l’Académie des Sciences, t. 230 (1950), p. 1129–1130. · Zbl 0035.35601
[6] N. Dunford and B. J. Pettis, Linear operations on summable functions,Transactions of the American Mathematical Society, t. 47 (1940), p. 323–392. · Zbl 0023.32902
[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] A. Grothendieck, Sur la complétion du dual d’un espace vectoriel localement convexe,Comptes-rendus de l’Académie des Sciences, t. 230 (1950), p. 605–606. · Zbl 0034.37401
[9] A. Grothendieck, Criteres généraux de compacité dans les espaces vectotiels localement convexes,Comptes-rendus de l’Académie des Sciences, t. 231 (1950), p. 940–941.
[10] P. R. Halmos, On the set of values of a finite measure,Bulletin of the American Mathematical Society, t. 53 (1947), p. 138–141. · Zbl 0033.05104
[11] S. Kakutani, Concrete representations of abstract (L)-spaces and the mean ergodic theorem,Annals of Mathematics, t. 42, (1941), p. 523–537. · Zbl 0027.11102
[12] T. Kitagawa, A formulation of the operational calculus ...,Japanese Journal of Mathematics, t. 14 (1938), p. 125–168. · JFM 64.0409.01
[13] G. Köthe und O. Toeplitz, Lineare Räume mit unendlichvielen Koordinaten,Journal de Crelle, t. 171 (1934), p. 193–226. · Zbl 0009.25704
[14] G. Köthe, Die Stufenräume, eine einfache Klasse linearer vollkommener Räume,Mathematische Zeitchrift, t. 51 (1948), p. 317–345. · Zbl 0031.03402
[15] G. Köthe, Neubegründung der Theorie der vollkommenen Räume,Mathematische Nachrichten (1951), p. 70–80.
[16] G. W. Mackey, On infinite-dimensional linear spaces,Transactions of the American Mathematical Society, t. 57 (1945), p. 155–207. · Zbl 0061.24301
[17] G. W. Mackey, On convex topological linear spaces,Transactions of the American Mathematical Society, t. 60 (1946), p. 520–537. · Zbl 0061.24302
[18] S. Saks, Addition to the note on some functionals,Transactions of the American Mathematical Society, t. 35 (1933), p. 965–970. · JFM 59.0409.02
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