On abstract Fubini theorems for finitely additive integration-Reference-Cited by-同舟云学术

On abstract Fubini theorems for finitely additive integration

Published:1995 Issue:9 Volume:123 Page:2739-2744
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

de Amo E.,Díaz Carrillo M.

Abstract

A Fubini theorem for positive linear functionals on the vector lattice of the real-valued functions is given. This result properly contains that of the Riemann- μ \mu -abstract integral.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1995-123-09/S0002-9939-1995-1257101-6/S0002-9939-1995-1257101-6.pdf

Reference14 articles.

1. Integralerweiterungen mittels Normen;Georg, Aumann;Arch. Math. (Basel),1952

2. Summable and integrable functions with respect to any Loomis system;Bobillo Guerrero, P.;Arch. Math. (Basel),1987

3. Finitely additive integration: integral extension with local convergence;Díaz Carrillo, Manuel;Ann. Sci. Math. Qu\'{e}bec,1993

4. N. Dunford and J. T. Schwartz, Linear operators. I, Interscience, New York, 1957.

5. Zum “Satz von Fubini” für ein abstraktes Riemann Integral;Elsner, Jürgen;Math. Z.,1975

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