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

Authors

  • Charles Swartz New Mexico State University.

DOI:

https://doi.org/10.22199/S07160917.1993.0001.00002

Abstract

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

Author Biography

Charles Swartz, New Mexico State University.

Department of Mathematical Sciences.

References

[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.

Published

2018-04-03

How to Cite

[1]
C. Swartz, “Fubuni’s theorem via Mikusinski’s characterization of the Lebesgue integral”, Proyecciones (Antofagasta, On line), vol. 12, no. 1, pp. 13-19, Apr. 2018.

Issue

Section

Artículos