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20132023
most citedOrder convergence in infinite-dimensional vector lattices is not topological

10 citations · 18 across the 18 of their papers we have counts for

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Showing 2020Show all

2 papers · 1 filter

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…