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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 -continuous, Lebesgue, KB, and Levi operators between vector lattices and topological vector spaces
Safak Alpay, Eduard Emelyanov, Svetlana Gorokhova
We investigate the -continuous/bounded/compact and Lebesgue operators from vector lattices to topological vector spaces; the KB operators between locally solid lattices and top…