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Vector lattice measures on locally compact spaces. (English) Zbl 0198.47803

MSC:
46G10 Vector-valued measures and integration
28B15 Set functions, measures and integrals with values in ordered spaces
46A40 Ordered topological linear spaces, vector lattices
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References:
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[2] Freudenthal, H.: Teilweise geordnete Moduln. Proc. Acad. Amsterdam39, 641-651 (1936). · Zbl 0014.31302
[3] Halmos, P.R.: Measure theory. Princeton: Van Nostrand 1950. · Zbl 0040.16802
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[5] McShane, E.J.: Order-preserving maps and integration processes. Annals Math. Studies 31. Princeton: Princeton University Press 1953. · Zbl 0051.29301
[6] Sobolev, V.I.: On partially ordered measure of sets, measurable functions and certain abstract integrals. Doklady Akad. Nauk SSSR (N.S.)91, 23-26 (1953) (Russian).
[7] Vulikh, B.Z.: Introduction to the theory of partially ordered spaces. Groningen: Wolters-Noordhoof 1967.
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