The Wickstead Problem
Functional Analysis
2011-05-31 v4
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.
Cite
@article{arxiv.0712.2378,
title = {The Wickstead Problem},
author = {A. E. Gutman and A. G. Kusraev and S. S. Kutateladze},
journal= {arXiv preprint arXiv:0712.2378},
year = {2011}
}
Comments
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