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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

The optimal Lebesgue-Radon-Nikodym inequality


Author: E. M. Alfsen
Journal: Bull. Amer. Math. Soc. 68 (1962), 230-233
MathSciNet review: 0137815
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References | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. Erik M. Alfsen, On a general theory of integration based on order, Math. Scand. 6 (1958), 67–79. MR 0101903 (21 #709)
  • 2. Erik M. Alfsen, A remark concerning the article: “On a general theory of integration based on order.”, Math. Scand. 7 (1959), 106–108. MR 0110783 (22 #1651)
  • 3. Dēmētrios A. Kappos and Anastassios Mallios, Der Integralbegriff in 0-topologischen Verbänden, Bull. Soc. Math. Grèce (N.S.) 1 (1960), 98–105 (German). MR 0133422 (24 #A3256)
  • 4. Garrett Birkhoff, Lattice Theory, American Mathematical Society Colloquium Publications, vol. 25, revised edition, American Mathematical Society, New York, N. Y., 1948. MR 0029876 (10,673a)
  • 5. Heinz Bauer, Reguläre und singuläre Abbildungen eines distributiven Verbandes in einen vollständigen Vektorverband, welche der Funktionalgleichung 𝑓(𝑥∨𝑦)+𝑓(𝑥∧𝑦)=𝑓(𝑥)+𝑓(𝑦) genügen, J. Reine Angew. Math. 194 (1955), 141–179 (German). MR 0071736 (17,177d)
  • 6. N. Bourbaki, Intégration, Actualités Sci. Ind., no. 1175, Hermann, Paris, 1952.
  • 7. Shizuo Kakutani, Concrete representation of abstract (𝐿)-spaces and the mean ergodic theorem, Ann. of Math. (2) 42 (1941), 523–537. MR 0004095 (2,318d)
  • 8. Frédéric Riesz, Sur quelques notions fondamentales dans la théorie générale des opérations linéaires, Ann. of Math. (2) 41 (1940), 174–206 (French). MR 0000902 (1,147d)


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1962-10757-5
PII: S 0002-9904(1962)10757-5