The Wickstead problem

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

The Wickstead problem.

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

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, σ-distributive Boolean algebra, local Hamel basis, transcendence basis, derivation, Boolean valued representation.

Type	Electronic preprint
Form	Electronic
Authors	Gutman Alexander Efimovich Kusraev Anatoly Georgievich Kutateladze Semen Samsonovich
Title	The Wickstead problem
Address	arXiv.org
Year	2007
Size	44 pages
Note	arXiv:0712.2378 [math.FA]
Language	English
©	2007.12.14
Files	Electronic preprint (PDF)
Links	Record in BibTeX format Preprint on arXiv.org (PDF) Preprint abstract on arXiv.org Information on ResearchGate
Project	The Wickstead problem Description of the vector lattices E for which all band-preserving operators T: E → E are regular

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Last updated
July 19, 2018