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math.FA2025
Equi-bounded on order intervals families of semi-norms
Eduard Emelyanov
It is proved that equi-bounded on order intervals families of semi-norms on an ordered Banach space with a closed generating cone are equi-continuous.
math.FA2025
On Levi operators between normed and vector lattices
Eduard Emelyanov
The notion of a Levi operator is an operator abstraction of the Levy property of a norm or, more generally of the Levi topology on a locally solid vector lattice. Various aspects o…
math.FA2025
On automatic boundedness of some operators in ordered Banach spaces
Eduard Emelyanov
We study order-to-weak continuous operators from an ordered Banach space to a normed space. It is proved that under rather mild conditions every order-to-weak continuous operator i…