Geodesic
Weak Sequential Compactness and Completeness in Riesz Spaces
Canadian journal of mathematics, Tome 28 (1976) no. 6, pp. 1332-1339

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

If L is an Archimedean Riesz space and M an ideal in the order dual of L, the subset A of L is called M-equicontinuous if and only if each monotone decreasing sequence of positive elements of M is uniformly Cauchy on A. 
Burkinshaw, Owen; Dodds, Peter. Weak Sequential Compactness and Completeness in Riesz Spaces. Canadian journal of mathematics, Tome 28 (1976) no. 6, pp. 1332-1339. doi: 10.4153/CJM-1976-132-7
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[1] 1. Burkinshaw, Owen, Weak compactness in the order dual of a vector lattice, Trans. Amer. Math. Soc. 187 (1974), 105–125. Google Scholar

[2] 2. Fremlin, D. H., Topological Riesz spaces and measure theory (Cambridge University Press, 1974). Google Scholar

[3] 3. Meyer-Nieberg, Peter, Zur schwachen kompactheit in Banachverb linden, Math. Zeit. 134 (1973), 303–315. Google Scholar

[4] 4. Hidegorô Nakano, , Modulared semi-ordered linear spaces (Maruzen, Tokyo, 1950). Google Scholar

[5] 5. Luxemburg, W. A. J., Notes on Banach function spaces, XIV A Koninkl. Nederl. Akad. Wetensch. Proc. Ser. A68 No. 2 (1965), 230–240. Google Scholar

[6] 6. Luxemburg, W. A. J. and Zaanen, A. C., Notes on Banach function spaces, VI-XIII, Koninkl. Nederl. Akad. Wetensch. Proc. Ser. A66 (1963), 251-263, 496-504, 655-681; A67 (1964), 104-119, 360-376, 493-581, 519–543. Google Scholar

[7] 7. Luxemburg, W. A. J. and Zaanen, A. C., Compactness of integral operators in Banach function spaces, Math. Ann. 140 (1963), 150–180. Google Scholar

[8] 8. Luxemburg, W. A. J. and Zaanen, A. C., Riesz spaces I (North Holland, 1971). Google Scholar

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