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Abstract

In this paper, by using an integral extension of Lebesgue power with local integral metrics, we stablish abstract Fubini type theorems, which subsume most known situations of integration with respect to finitely additive measures.

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References

  1. Anger B., Portenier C.,Radon integral. Birkhauser, Basel 1992.

    Google Scholar 

  2. Aumann G.,Integralerweiterungen mittels Normen, Arch. Math.,3 (1952) 441–450.

    Article  MATH  MathSciNet  Google Scholar 

  3. Díaz Carrillo M., Muñoz Rivas P.,Finitely additive integration: integral extension with local convergence, Ann. Sc. Math. Québec,17, (2), (1993) 1–9.

    Google Scholar 

  4. Díaz Carrillo M., Günzler H.,Local integral metrics and Daniell-Loomis integrals. Bull. Austral. Math. Soc.,48, (1993) 411–426.

    Article  MATH  MathSciNet  Google Scholar 

  5. De Amo E., Díaz Carrillo M.,On abstract Fubini theorem for finitely additive integration, Proc. Amer. Math. Soc.,123, n. 9, (1995), 2739–2744.

    Article  MATH  MathSciNet  Google Scholar 

  6. Dunford N., Schwartz J.T.,Linear Operators, I. Interscience, New York 1957.

    Google Scholar 

  7. Elsner J.,Zum “Satz von Fubini” für ein abstraktes Riemann-integral. Math. Z.,141, (1975) 265–278.

    Article  MATH  MathSciNet  Google Scholar 

  8. Günzler H.,Linear functionals which are integrals. Rend. Sem. Mat. Fis. Milano, xvii, 167–176 (1977)

    Google Scholar 

  9. Günzler H.,Integration. Bibliogra. Institut, Mannheim 1985

    MATH  Google Scholar 

  10. Günzler H.,Convergence theorems for a Daniell-Loomis integral, Math. Pannon.2, (1991) 77–94.

    MATH  Google Scholar 

  11. Hoffmann D.,Zun “Satz von Fubini”. J. reine angew. Math.,298, (1977) 138–145.

    Google Scholar 

  12. Loomis L. H.,Linear functionals and content. Amer. J. Math.,176, (1954) 168–182.

    Article  MathSciNet  Google Scholar 

  13. Pfeffer W. F.,Integrals and Measure. M. Dekker, New York 1977.

    Google Scholar 

  14. Schafke F. W.,Lokale Integralnormen und verallgemeinerte uneigentlichè Riemann-Stieltjes-Integral. J. reine angew. Math.,289, (1977) 118–134.

    MathSciNet  Google Scholar 

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De Amo, E., Carrillo, M.D. Fubini-integral metrics. Rend. Circ. Mat. Palermo 46, 161–174 (1997). https://doi.org/10.1007/BF02977026

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  • DOI: https://doi.org/10.1007/BF02977026

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