1. Aliprantis, C. D. and Burkinshaw, O.
Locally Solid Riesz Spaces with
Applications to Economics, 2nd ed., Mathematical Surveys and
Monographs, vol. 105, Providence, RI, Amer. Math. Soc., 2003.
2. Kusraev, A. G.
Dominated Operators, Dordrecht, Kluwer, 2000.
3. Gao, N., Troitsky, V. G. and Xanthos, F.
Uo-Convergence and its Applications to Cesaro Means in Banach
Lattices,
Israel Journal of Mathematics, 2017, vol. 220, no. 2,
pp. 649-689. DOI: 10.1007/s11856-017-1530-y.
4. Kaplan, S. On Unbounded Order Convergence,
Real Anal. Exchange,
1997/98, vol. 23(1), pp. 175-184.
5. Kusraev, A. G. and Kutateladze, S. S.
Boolean-valued Analysis, Dordrecht, Kluwer Academic,
1999.
6. Abramovich, Y. A. and Sirotkin, G. G. On Order Convergence of Nets,
Positivity, 2005, vol. 9, no. 3, pp. 287-292. DOI:
10.1007/s11117-004-7543-x.
7. Dabboorasad, Y. A., Emelyanov, E. Y. and Marabeh, M. A. A. Order
Convergence in Infinite-dimensional Vector Lattices is not
Topological,
Uzbek Math. J., 2019, vol. 3, pp. 4-10.
8. Gorokhova, S. G. Intrinsic Characterization of the Space \(c_0(A)\) in the Class of Banach Lattices,
Math. Notes, 1996, vol. 60, no. 3,
pp. 330-333. DOI: 10.1007/bf02320373.
9. Nakano, H. Ergodic Theorems in Semi-ordered Linear Spaces,
Ann.
Math., 1948, vol. 49, no. 2, pp. 538-556. DOI: 10.2307/1969044.
10. Wickstead, A. W. Weak and Unbounded Order Convergence in Banach Lattices,
J. Austral. Math. Soc. Ser. A, 1977, vol. 24, no. 3, pp. 312-319. DOI: 10.1017/s1446788700020346.
11. Deng, Y., O'Brien, M. and Troitsky, V. G. Unbounded Norm Convergence in Banach Lattices,
Positivity,
2017, vol. 21, no. 3, pp. 963-974. DOI: 10.1007/s11117-016-0446-9.
12. Emelyanov, E. Y. and Marabeh, M. A. A. Two Measure-free
Versions of the Brezis-Lieb Lemma,
Vladikavkaz Math. J.,
2016, vol. 18, no. 1, pp. 21-25. DOI: 10.23671/VNC.2016.1.5930.
13. Li, H. and Chen, Z. Some Loose Ends on Unbounded Order Convergence,
Positivity, 2018, vol. 22, no. 1, pp. 83-90. DOI: 10.1007/s11117-017-0501-1.
14. Emelyanov, E. Y., Erkursun-Ozcan, N. and Gorokhova, S. G.
Komlos Properties in Banach Lattices,
Acta Math.
Hungarica, 2018, vol. 155, no. 2, pp. 324-331. DOI:
10.1007/s10474-018-0852-5.
15. Azouzi, Y. Completeness for Vector Lattices,
J. Math. Anal. Appl., 2019, vol. 472, no. 1, pp. 216-230. DOI: 10.1016/j.jmaa.2018.11.019.
16. Taylor, M. A. Completeness of Unbounded Convergences,
Proc. Amer. Math. Soc., 2018, vol. 146, no. 8, pp. 3413-3423. DOI:
10.1090/proc/14007.
17. Aydin, A., Emelyanov, E. Y., Erkursun-Ozcan, N. and Marabeh, M. A. A. Unbounded \(p\)-Convergence in Lattice-normed Vector Lattices,
Siberian Adv. Math., 2019, vol. 29, no. 3, pp. 164-182.
DOI: 10.3103/s1055134419030027.
18. Taylor, M. A.
Master Thesis, Edmonton, University of Alberta, 2019.
19. Gordon, E. I. Real Numbers in Boolean-Valued Models of Set Theory and \(K\)-Spaces,
Dokl. Akad. Nauk SSSR, 1977, vol. 237, no. 4,
pp. 773-775.
20. Kantorovich, L. V. On Semi-Ordered Linear Spaces and their Applications to the Theory of Linear Operations,
Dokl. Akad. Nauk SSSR, 1935, vol. 4, no. 1-2, pp. 11-14.
21. Gordon, E. I. \(K\)-spaces in Boolean-valued Models of Set Theory,
Dokl. Akad. Nauk SSSR, 1981, vol. 258, no. 4, pp. 777-780.
22. Gordon, E. I. Theorems on Preservation of Relations in \(K\)-spaces,
Sib. Math. J., 1982, vol. 23, no. 3, pp. 336-344. DOI:
10.1007/bf00973490.
23. Dales, H. G. and Woodin, W. H.
An Introduction to Independence for Analysts, Cambridge, Cambridge University Press, 1987, 241 p.
24. Gordon, E. I., Kusraev, A. G. and Kutateladze, S. S. Infinitesimal Analysis, Dordrecht, Kluwer Academic Publishers, 2002.
25. Gutman, A. E., Kusraev, A. G. and Kutateladze, S. S. The Wickstead Problem,
Sib. Elektron. Mat. Izv., 2008, vol. 5, pp. 293-333.
