Geodesic
Continuous-discrete sections of bundles of Banach lattices
Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 4, pp. 14-18 
A. E. Gutman; A. V. Koptev. Continuous-discrete sections of bundles of Banach lattices. Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 4, pp. 14-18. http://geodesic.mathdoc.fr/item/VMJ_2013_15_4_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The notion of a continuous bundle of Banach lattices is clarified and the order properties are studied of the space of $CD_0$-sections of such a bundle.

[1] Gutman A. E., “Banakhovy rassloeniya v teorii reshetochno normirovannykh prostranstv”, Tr. In-ta matematiki SO RAN, 29, Izd-vo In-ta matematiki, Novosibirsk, 1995, 63–211 | MR

[2] Kusraev A. G., Mazhoriruemye operatory, Nauka, M., 2003, 619 pp. | MR

[3] Gierz G., Bundles of Topological Vector Spaces and Their Duality, Springer-Verlag, Berlin etc., 1982, 296 pp. | MR | Zbl

[4] Kusraev A. G., Tabuev S. N., “Banach lattices of continuous sections”, Vladikavk. mat. zhurn., 14:4 (2012), 41–44 | MR

[5] Gutman A. E., Koptev A. V., “Prostranstva $CD_0$-sechenii i $CD_0$-gomomorfizmov banakhovykh rassloenii”, Vestn. Novosib. gos. un-ta. Ser. Matematika, mekhanika, informatika, 7:4 (2007), 27–48 | Zbl

[6] Gutman A. E., Koptev A. V., “Prostranstva $CD_0$-funktsii i udvoenie po Aleksandrovu”, Vladikavk. mat. zhurn., 9:3 (2007), 11–21 | MR