Geodesic
Lattice normed lattices
Dalʹnevostočnyj matematičeskij žurnal, Tome 14 (2014) no. 2, pp. 280-296.

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The topological and order properties of the lattice normed lattices (LNL) with monotonically complete and order semicontinuous norm, taking their values in extended Kantorovich – Pinsker spaces, are studied. It is proved the “vector” variant of Abramovich theorem, giving the criterion of $(bo)$-completeness of LNL. 
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V. I. Chilin; M. M. Yusupova. Lattice normed lattices. Dalʹnevostočnyj matematičeskij žurnal, Tome 14 (2014) no. 2, pp. 280-296. http://geodesic.mathdoc.fr/item/DVMG_2014_14_2_a13/

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