The Wickstead Problem
A. E. Gutman, A. G. Kusraev, S. S. Kutateladze
TL;DR
This paper reviews the main ideas and results concerning the Wickstead problem, which investigates conditions under which all band preserving linear operators in a universally complete vector lattice are order bounded.
Contribution
It provides an overview of the key concepts and findings related to the Wickstead problem and its variations, focusing on universally complete vector lattices.
Findings
Summarizes conditions for order boundedness of band preserving operators.
Highlights main results and open questions in the Wickstead problem.
Focuses on universally complete vector lattices.
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.
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