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Singer, Ivan

On a class of linear operators on the spaces \(L_{F}^{p}\) (\(1\leq p < +\infty\)). (Sur une classe d’applications linéaires continues des espaces \(L_{F}^{p}\) (\(1\leq p < +\infty\)).) (French) Zbl 0197.38501

Ann. Sci. Éc. Norm. Supér., III. Sér. 77, 235-256 (1960).
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MSC:

47A99 General theory of linear operators

Keywords:

functional analysis
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\textit{I. Singer}, Ann. Sci. Éc. Norm. Supér. (3) 77, 235--256 (1960; Zbl 0197.38501)
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References:

[1] N. BOURBAKI , Intégration, Éléments de Mathématique , livre VI, chap. I-IV, Paris, 1952 ; chap. V, Paris, 1956 . · Zbl 0049.31703
[2] J. DIEUDONNÉ , Sur le théorème de Lebesgue-Nikodým . III (Ann. Univ. Grenoble, t. 23, 1947 - 1948 , p. 25-53). Numdam | MR 10,519b | Zbl 0030.16002 · Zbl 0030.16002
[3] N. DINCULEANU et C. FOIAS , Mesures vectorielles et opérations linéaires sur LpE (C. R. Acad. Sc., t. 248, 1959 , p. 1759-1762). MR 21 #3753 | Zbl 0088.08801 · Zbl 0088.08801
[4] A. GROTHENDIECK , Résumé de la théorie métrique des produits tensoriels topologiques (Bol. Soc. Mat. São-Paulo, t. 8, 1956 , p. 1-79). MR 20 #1194 | Zbl 0074.32303 · Zbl 0074.32303
[5] R. FORTET et E. MOURIER , Résultats complémentaires sur les éléments aléatoires dans un espace de Banach (Bull. Sc. Math., t. 78, 1954 , p. 14-30). MR 16,149c | Zbl 0059.11502 · Zbl 0059.11502
[6] I. SINGER , Sur les applications linéaires majorées des espaces de fonctions continues (Rend. Accad. Naz. Lincei, t. 27, 1959 , p. 35-41). MR 22 #5885 | Zbl 0122.11503 · Zbl 0122.11503
[7] I. SINGER , Les duals de certains espaces de Banach de champs de vecteurs . II (Bull. Sc. Math., t. 83, 1959 , p. 73-96). MR 22 #9840 | Zbl 0094.09205 · Zbl 0094.09205
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