Fubuni's theorem via Mikusinski's characterization of the Lebesgue integral
DOI:
https://doi.org/10.22199/S07160917.1993.0001.00002Abstract
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.
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.
[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
-
Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.