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math.FA2020
Bibounded uo-convergence and b-property in vector lattices
Safak Alpay, Eduard Emelyanov, Svetlana Gorokhova
We define bidual bounded -convergence in vector lattices and investigate relations between this convergence and -property. We prove that for a regular Riesz dual system $\la…
math.FA2020
Full Lattice Convergence on Riesz Spaces
Abdullah Aydın, Eduard Emelyanov, Svetlana Gorokhova
The full lattice convergence on a locally solid Riesz space is an abstraction of the topological, order, and relatively uniform convergences. We investigate four modifications of a…