Geodesic
Wallman Compactification and Representation
Canadian journal of mathematics, Tome 33 (1981) no. 2, pp. 372-380

Voir la notice de l'article provenant de la source Cambridge University Press

Let X be any set and A be a uniformly closed algebra of bounded real valued functions on X which contains the constants and separates the points. For a lattice L of subsets of X (we assume throughout that ∅ and X belong to L), let MR(L) denote the space of all finite, finitely additive,L-regular measures defined on the field of sets generated by L . Generalizing the notion of an integral representation, in [5] Kirk and Crenshaw define a standard representation of A*, the Banach dual of A, in MR(L) to be a linear map I of A* into MR(L) with the property that if 0 ≦ φ ∈ A*, then for every W in L. The space MR(L) is said to represent A* if there exists a (unique) standard representation I of A* onto MR(L) which is a Banach lattice isomorphism. 
Hegde, Shankar. Wallman Compactification and Representation. Canadian journal of mathematics, Tome 33 (1981) no. 2, pp. 372-380. doi: 10.4153/CJM-1981-031-6
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