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math.FA2022
Characterizations of the projection bands and some order properties of the lattices of continuous functions
Eugene Bilokopytov
We show that for an ideal in an Archimedean vector lattice the following conditions are equivalent: is a projection band; Any collection of mutually…
math.FA2022★ 1 cited
Locally solid convergences and order continuity of positive operators
Eugene Bilokopytov
We consider vector lattices endowed with locally solid convergence structures, which are not necessarily topological. We show that such a convergence is defined by the convergence…