Gutman A.E., Kusraev A.G., Kutateladze S.S.

The Wickstead problem.

Electron. preprint. arXiv.org, 2007. 44 p. (arXiv:0712.2378 [math.FA])

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@booklet { Gutman20071214,

author = "Gutman A.E. and Kusraev A.G. and Kutateladze S.S.",

note = "Electronic preprint / arXiv:0712.2378 [math.FA]",

howpublished = "Electronic",

title = "The Wickstead problem",

address = "arXiv.org",

year = "2007",

pages = "44",

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"

}