S. Gorokhova

activity

20162026

most citedFree uniformly complete vector lattices

2 citations · 4 across the 19 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.FA2021★ 2 cited

Free uniformly complete vector lattices

Eduard Emelyanov, Svetlana Gorokhova

We define a free uniformly complete vector lattice over a set of generators and give its concrete representation as a space of continuous positively homogeneous functions.

math.FA2021

The $o τ$ -continuous, Lebesgue, KB, and Levi operators between vector lattices and topological vector spaces

Safak Alpay, Eduard Emelyanov, Svetlana Gorokhova

We investigate the $o τ$ -continuous/bounded/compact and Lebesgue operators from vector lattices to topological vector spaces; the KB operators between locally solid lattices and top…

math.FA2021

b-Property of sublattices in vector lattices

Safak Alpay, Svetlana Gorokhova

We study $b$ -property of a sublattice (or an order ideal) $F$ of a vector lattice $E$ . In particular, $b$ -property of $E$ in $E^{δ}$ , the Dedekind completion of $E$ , $b$ -property of…

Free uniformly complete vector lattices

The oτ-continuous, Lebesgue, KB, and Levi operators between vector lattices and topological vector spaces

b-Property of sublattices in vector lattices

The $o τ$ -continuous, Lebesgue, KB, and Levi operators between vector lattices and topological vector spaces