2 papers
math.FA2025
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.FA2025
On limited and almost limited operators between Banach lattices
Safak Alpay, Svetlana Gorokhova
We study (almost) limited operators in Banach lattices and their relations to L-weakly compact, semi-compact, and Dunford-Pettis operators. Several further related topics are inves…