Literature Cited
J. D. Maitland Wright, “The measure extension problem for vector lattices,” Ann. Inst. Fourier,21, No. 4, 65–85 (1971).
L. V. Kantorovich, B. Z. Vulikh, and A. G. Pinsker, Functional Analysis in Partially Ordered Spaces [in Russian], Gostekhizdat, Moscow (1950).
Z. T. Dikanova, “On properties of partially ordered spaces of continuous functions on a compact Hausdorff space,” Usp. Mat. Nauk,11, No. 6, 165–172 (1959).
B. Z. Vulikh, Introduction to the Theory of Partially Ordered Spaces, Gordan and Breach (1967).
D. A. Vladimirov, “On completeness of partially ordered spaces,” Usp. Mat. Nauk,15, No. 2, 165–172 (1960).
L. V. Kantorovich and G. P. Akilov, Functional Analysis [in Russian], Nauka, Moscow (1977).
Additional information
Yakut State University. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 22, No. 3, pp. 197–203, May–June, 1981.
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Shamaev, I.I. Countable extension of a measure with values in a vector lattice. Sib Math J 22, 481–485 (1981). https://doi.org/10.1007/BF00969783
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DOI: https://doi.org/10.1007/BF00969783