The Wickstead Problem

Details The Wickstead Problem The Wickstead Problem

2007-12-14

arxiv.org/abs/0712.2378v4

Siberian Electronic Math. Reports, 2008, V.5, 293-333

Mathematics

Functional Analysis

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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