Sur le théorème de Lebesgue-Nikodym (III)

Jean Dieudonné

Annales de l'université de Grenoble (1947-1948)

  • Volume: 23, page 25-53
  • ISSN: 0765-8834

How to cite

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Dieudonné, Jean. "Sur le théorème de Lebesgue-Nikodym (III)." Annales de l'université de Grenoble 23 (1947-1948): 25-53. <http://eudml.org/doc/84619>.

@article{Dieudonné1947-1948,
author = {Dieudonné, Jean},
journal = {Annales de l'université de Grenoble},
keywords = {Functional analysis},
language = {fre},
pages = {25-53},
publisher = {Université de Grenoble},
title = {Sur le théorème de Lebesgue-Nikodym (III)},
url = {http://eudml.org/doc/84619},
volume = {23},
year = {1947-1948},
}

TY - JOUR
AU - Dieudonné, Jean
TI - Sur le théorème de Lebesgue-Nikodym (III)
JO - Annales de l'université de Grenoble
PY - 1947-1948
PB - Université de Grenoble
VL - 23
SP - 25
EP - 53
LA - fre
KW - Functional analysis
UR - http://eudml.org/doc/84619
ER -

References

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  1. [1] S. Banach, Théorie des opérations linéaires, Warszawa, 1932. Zbl0005.20901JFM58.0420.01
  2. [2] G. Birkhoff, Integration of functions with values in a Banach space, Transactions of the American Mathematical Society, t. 38 (1935), p. 357-378. Zbl0013.00803MR1501815JFM61.0234.01
  3. [3] S. Bochner, Integration von Funktionen, deren Werte die Elemente eines Vektorraumes sind, Fundamenta Mathematicae, t. 20 (1933), p. 262-276. Zbl0007.10901JFM59.0271.01
  4. [4] J. Dieudonné, La dualité dans les espaces vectoriels topologiques, Annales de l'Ecole Normale Supérieure, t. 59 (1942), p. 107-139. Zbl0027.32101MR11532JFM68.0238.02
  5. [5] J. Dieudonné, Sur le théorème de Lebesgue-Nikodym, Annals of Mathematics, t. 42 (1941), p. 547-555. Zbl0027.11201MR4719JFM67.0405.01
  6. [6] J. Dieudonné, Sur le théorème de Lebesgue-Nikodym (II), Bulletin de la Société Mathématique de France, t. 72 (1944), p, 193-239. Zbl0060.26306MR14580
  7. [7] J.L. Doob, Stochastic processes with an integral-valued parameter, Transactions of the American Mathematical Society, t. 44 (1938), p. 87-150. Zbl0019.12701MR1501964JFM64.0532.03
  8. [8] N. Dunford, Uniformity in linear spaces, Transactions of the American Mathematical Society, t. 44 (1938), p. 305-356. Zbl0019.41604MR1501971JFM64.0371.01
  9. [9] N. Dunford and B.J. Pettis, Linear operations on summable functions, Transactions of the American Mathematical Society, t. 47 (1940), p. 323-392. Zbl0023.32902MR2020JFM66.0556.01
  10. [10] I. Gelfand, Abstrakte Funktionen und linearen Operatoren, Recueil Mathématique de Moscou, t. 4 (1938), p. 235-284. Zbl0020.36701JFM64.0368.02
  11. [11] P.R. Halmos, The decomposition of measures, Duke Mathematical Journal, t. 8 (1941), p. 386-392. Zbl0025.14901MR4718JFM67.0166.01
  12. [12] P.R. Halmos, W. Ambrose and S. Kakutani, The decomposition of measures (II), Duke Mathematical Journal, t. 9 (1942), p. 43-47. Zbl0063.00066MR5801
  13. [13] S. Kakutani, Concrete representations of abstract (L)-spaces and the mean ergodic theorem, Annals of Mathematics, t. 42 (1941), p. 523-537. Zbl0027.11102MR4095JFM67.0419.01
  14. [14] B.J. Pettis, On integration in vector spaces, Transactions of the American Mathematical Society, t. 44 (1938), p. 277-304. Zbl0019.41603MR1501970JFM64.0371.02
  15. [15] M.H. Stone, Application of the theory of boolean rings to general topology, Transactions of the American Mathematical Society, t. 41 (1937), p. 375-481. Zbl0017.13502MR1501905JFM63.1173.01
  16. [16] A. Weil, L'intégration dans les groupes topologiques et ses applications, Act. Scient. et Ind., n° 869, Paris (Hermann), 1940. Zbl0063.08195MR5741JFM66.1205.02

Citations in EuDML Documents

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  1. Nicolae Dinculeanu, Sur la représentation intégrale des certaines opérations linéaires. II
  2. Ivan Singer, Sur une classe d’applications linéaires continues des espaces L F p ( 1 p &lt; + )
  3. A. Ionescu-Tulcea, C. Ionescu-Tulcea, On the lifting property (IV). Desintegration of measures
  4. Métivier, Probabilités conditionnelles régulières
  5. Miloslav Jiřina, Условные вероятности на σ -алгебрах со счетным базисом
  6. François Bruhat, Sur les représentations induites des groupes de Lie

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