Unbounded $\sigma$-order-to-norm continuous and $un$-continuous operators

Mina Matin, Kazem Haghnejad Azar, Razi Alavizadeh

An operator $T$ from a vector lattice $E$ into a normed lattice $F$ is called unbounded $\sigma$-order-to-norm continuous whenever $x_n\stackrel{uo}{\to }0$ implies $\| Tx_{n}\|\rightar…