On a separable weak version of the bounded approximation property

摘要

Recently, Lee introduced and studied the separable weak bounded approximation property (BAP). Lee proved that the separable weak BAP of , the dual space of a Banach space , coincides with the BAP of whenever has the weak Radon-NikodA1/2m property. We show that the separable weak BAP and the BAP are always the same properties.