$\xi$-completely continuous operators and $\xi$-Schur Banach spaces

R. M. Causey, K. Navoyan

For each ordinal $0⩽\xi ⩽{\omega }_1$, we introduce the notion of a $\xi$-completely continuous operator and prove that for each ordinal $0<\xi <{\omega }_1$, the class $\mathfrak{V}_ξ…