Bulletin of the
Korean Mathematical Society BKMS

In this paper we introduce and study the separable weak bounded approximation properties which is strictly stronger than the approximation property and but weaker than the bounded approximation property. It provides new sufficient conditions for the metric approximation property for a dual Banach space.

Keywords: the separable weak metric approximation property, separable weak metric approximation property with conjugate operators, weak Radon-Nikod\'ym property, metric approximation property, factorization lemma

MSC numbers: Primary 46B28; Secondary 46B22