V. G. Troitsky

collaborators

Showing math.FAShow all

3 papers · 1 filter

math.FA2026

Relative uniform completion of a vector lattice

Eugene Bilokopytov, Vladimir G. Troitsky

In the paper, we revisit several approaches to the concept of uniform completion $X^{ru}$ of a vector lattice $X$ . We show that many of these approaches yield the same res…

math.FA2024

Locally solid convergence structures

E. Bilokopytov, J. Conradie, V. G. Troitsky +1

While there is a well developed theory of locally solid topologies, many important convergences in vector lattice theory are not topological. Yet they share many properties with lo…

math.FA2024

Uniformly closed sublattices of finite codimension

Eugene Bilokopytov, Vladimir G. Troitsky

The paper investigates uniformly closed subspaces, sublattices, and ideals of finite codimension in Archimedean vector lattices. It is shown that every uniformly closed subspace (o…