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
Keywords: derivative; Denjoy integral; Henstock-Kurzweil integral; fundamental theorem of calculus; vector lattice; Riesz space
@article{CMJ_2009__59_2_a7,
author = {Kawasaki, Toshiharu},
title = {Denjoy integral and {Henstock-Kurzweil} integral in vector lattices. {I}},
journal = {Czechoslovak Mathematical Journal},
pages = {381--399},
publisher = {mathdoc},
volume = {59},
number = {2},
year = {2009},
mrnumber = {2532373},
zbl = {1224.46083},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2009__59_2_a7/}
}
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/