Geodesic
The Wickstead Problem
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 5 (2008), pp. 293-333

Voir la notice de l'article provenant de la source Math-Net.Ru

In 1977 Anthony Wickstead raised the question of the conditions for all band preserving linear operators to be order bounded in a vector lattice. This article overviews the main ideas and results on the Wickstead problem and its variations, focusing primarily on the case of band preserving operators in a universally complete vector lattice.
Keywords: Band preserving operator, universally complete vector lattice, $\sigma$-distributive Boolean algebra, local Hamel basis, transcendence basis, derivation, Boolean valued representation. 
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A. E. Gutman; A. G. Kusraev; S. S. Kutateladze. The Wickstead Problem. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 5 (2008), pp. 293-333. http://geodesic.mathdoc.fr/item/SEMR_2008_5_a21/