Extension of positive operators (Q2191359)

The authors provide the monotone extension theorem for a positive linear operator \(T: E\to F\) from a majorizing subspace of a separable Fréchet space \(E\) to a locally solid vector lattice \(F\) enjoying the \(\sigma\)-interpolation property. This complements the celebrated Kantorovich theorem for \(T\) from an ordered vector space \(E\) to a Dedeking complete vector lattice \(F\).