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On the extension of measures. (English) Zbl 0374.28010

MSC:

28B05 Vector-valued set functions, measures and integrals
28B15 Set functions, measures and integrals with values in ordered spaces
46A40 Ordered topological linear spaces, vector lattices
28C20 Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.)
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References:

[1] LUXEMBURG W. A., ZAANEN C. C.: Riesz Spaces 1. Amsterdam 1971. · Zbl 0231.46014
[2] PERESSINI A. L.: Ordered topological linear spaces. New York 1967. · Zbl 0169.14801
[3] RIEČAN B.: On the extension of operators with values in linear semiordered spaces (Russian). Čas. Pěst. Mat. 93, 1968, 450-471.
[4] WRIGHT J. D. MAITLAND: Measures with values in a partially ordered vector space. Proc. London Math. Soc. 3, 25, 1972, 675-688. · Zbl 0243.46049
[5] HRYCAY R.: On vector-lattice-valued measures. Canad. Math. Bulletin 8, 1965, 499-508. · Zbl 0131.13002
[6] SION M.: Outer measures with values in a topological group. Proc. London Math. Soc. 19, 1969, 89-98. · Zbl 0167.14503
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