@booklet { Gutman20071210, author = "Gutman A.E. and Kusraev A.G. and Kutateladze S.S.", note = "Preprint / IAMI VSC RAS; N 3", title = "The Wickstead problem", address = "Vladikavkaz", year = "2007", pages = "44", doi = "10.13140/RG.2.2.22573.79849", annote = "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" }