Geodesic
Denjoy integral and Henstock-Kurzweil integral in vector lattices. I
Czechoslovak Mathematical Journal, Tome 59 (2009) no. 2, pp. 381-399.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

In this paper we define the derivative and the Denjoy integral of mappings from a vector lattice to a complete vector lattice and show the fundamental theorem of calculus.
Classification : 26A39, 46B42, 46G05, 46G10, 46G12
Keywords: derivative; Denjoy integral; Henstock-Kurzweil integral; fundamental theorem of calculus; vector lattice; Riesz space 
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     title = {Denjoy integral and {Henstock-Kurzweil} integral in vector lattices. {I}},
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Kawasaki, Toshiharu. Denjoy integral and Henstock-Kurzweil integral in vector lattices. I. Czechoslovak Mathematical Journal, Tome 59 (2009) no. 2, pp. 381-399. http://geodesic.mathdoc.fr/item/CMJ_2009__59_2_a7/