Geodesic
On the representation of completely linear and regular functionals in partially ordered spaces
Sbornik. Mathematics, Tome 13 (1971) no. 3, pp. 323-343 
B. Z. Vulikh; G. Ya. Lozanovskii. On the representation of completely linear and regular functionals in partially ordered spaces. Sbornik. Mathematics, Tome 13 (1971) no. 3, pp. 323-343. http://geodesic.mathdoc.fr/item/SM_1971_13_3_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In the first two sections the representation of completely linear functionals in $K$-spaces and the connection between completely linear functionals and measures on bases in a $K$-space is studied. In § 3 a realization of spaces of regular functionals is established. Bibliography: 15 titles.

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[11] G. Ya. Lozanovskii, “O realizatsii prostranstv regulyarnykh funktsionalov i nekotorykh ee primeneniyakh”, DAN SSSR, 188:3 (1969), 522–524 | MR | Zbl

[12] N. M. Rice, “Multiplication in vector lattices”, Canad. J. Math., 20 (1968), 1136–1149 | MR | Zbl

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[15] J. Schwartz, “A note on the space $L_p^*$”, Proc. Amer. Math. Soc., 2 (1951), 270–275 | DOI | MR | Zbl