This article is cited in 1 paper

Erased Kantorovich spaces

A. G. Kusraev^ab, S. S. Kutateladze<sup>c

a</sup> Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences, Vladikavkaz
^b Vladikavkaz Scientific Centre of the Russian Academy of Sciences
^c Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: An erased Kantorovich space is the lattice ordered additive group of a Kantorovich space. We study the special role of erased Kantorovich spaces in extending positive, dominated, and lattice homomorphisms and also the existence of unbounded polar-preserving group homomorphisms. Our method of study is Boolean-valued analysis.

Keywords: Boolean-valued analysis, Kantorovich space, Wickstead problem, Gordon's Theorem, ordered group, homomorphism, extension property.

UDC: 517.982

Received: 21.11.2021
Revised: 21.11.2021
Accepted: 10.12.2021

DOI: 10.33048/smzh.2022.63.109

 English version: Siberian Mathematical Journal, 2022, 63:1, 102–118

Bibliographic databases:

•