Definition
- Let X and Y be Banach spaces. An operator K in B(X,Y) is said to be super weakly compact if for all number e>0 there exists a positive integer n for which there do not exist finite sets
for which
( is the set of elements of norme one of X and X* is the dual of X)
Reference
- González, Manuel and Martínez-Abejón, Antonio,Supertauberian operators and perturbations., Arch. Math. 64, No.5, 423-433 (1995).