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

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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[1] Floyd, E.E.: Boolean algebras with pathological order properties. Pacific J. Math.5, 687-689 (1956). · Zbl 0065.26603
[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
[4] Kadison, R.V.: A representation theory for commutative topological algebra. Mem. Amer. Math. Soc.7, 1-39 (1951). · Zbl 0042.34801
[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.
[8] Wright, J.D. Maitland: Stone algebra valued measures and integrals. Proc. London Math. Soc. (3)19, 107-122 (1969). · Zbl 0186.46504
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