A. E. Gutman, A. G. Kusraev, S. S. Kutateladze, “The Wickstead Problem”, Сиб. электрон. матем. изв., 2008, том 5,страницы 293

Эта публикация цитируется в 17 статьях

Статьи

The Wickstead Problem

A. E. Gutman^a, A. G. Kusraev^b, S. S. Kutateladze^a

^a Sobolev Institute of Mathematics, Novosibirsk, Russia
^b Institute of Applied Mathematics and Informatics, Vladikavkaz, Russia

Аннотация: 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.

Ключевые слова: Band preserving operator, universally complete vector lattice, $\sigma$-distributive Boolean algebra, local Hamel basis, transcendence basis, derivation, Boolean valued representation.

УДК: 517.98

MSC: 46A40, 47B60, 12F20, 03C90, 03C98

Поступила 13 февраля 2008 г., опубликована 1 июля 2008 г.

Язык публикации: английский