Fubuni's theorem via Mikusinski's characterization of the Lebesgue integral

• Swartz, Charles ^[1]
  1. [1] New Mexico State University

     New Mexico State University

     Estados Unidos

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 12, Nº. 1, 1993, págs. 13-19
• Idioma: inglés
• DOI: 10.22199/S07160917.1993.0001.00002
• Enlaces
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• Resumen

  • We generalize a characterization of the Lebesgue integral in ℝn due to J Mikusinski to abstract measure spaces and use the characterizaton to give a proof of Fubini 's Theorem.

• Referencias bibliográficas
  • Citas [1] Aliprantis, C.; Burkinshaw, O.: Principles of Real Analysis. Academic Press, N.Y. 1990.
  • [2] Debnath L.; Mikusinski, P.: lntroduction to Hilbert Spaces with Applications. Academic Press, N. Y. 1990.
  • [3] MacNeille, H.M.: A Unified Theory of Integration. Proc. Natl. Acad. Sci. U.S.A. 27, 71-76, 1941.
  • [4] Mikusinski, J.: Sur Une Definition de L'integrale de Lebesgue. Bull. Acad. Polon. Sci. 12, 20:3-204, 1964.
  • [5] Mikusinski. J.: The Bochner Integral. Academic Press, N. Y. 1978.
  • [6] Royden, H.: Real Analysis. Macmillan, N. Y. 1988.