Geodesic
Modulus of Lattice-valued Measures
Acta mathematica Universitatis Comenianae, Tome 79 (2010) no. 2 
S. S. Khurana. Modulus of Lattice-valued  Measures. Acta mathematica Universitatis Comenianae, Tome 79 (2010) no. 2. http://geodesic.mathdoc.fr/item/AMUC_2010_79_2_a7/
@article{AMUC_2010_79_2_a7,
     author = {S. S. Khurana},
     title = {Modulus of {Lattice-valued}  {Measures}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2010},
     volume = {79},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2010_79_2_a7/}
}
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Voir la notice de l'article provenant de la source Comenius University

Let X be a completely regular Hausdorff space, E a Banach lattice, and m an E -valued countably additive, regular Borel measure on X . Some results about the countable additivity and regularity of the modulus | m | are proved. Also in special cases, it is proved that L 1 ( m )= L 1 (| m |).