The Wickstead Problem

Mathematics – Functional Analysis

Scientific paper

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44 pages; copyright statements are changed; some typos are corrected; item A3.9 is subdivided into two items and some remarks

Scientific paper

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.

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