The Wickstead Problem
arXiv:0712.2378
Abstract
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.
44 pages; copyright statements are changed; some typos are corrected; item A3.9 is subdivided into two items and some remarks are added therein; the references section is corrected and slightly extended; a footnote on a foundation support is added