Abstract
Recently, Lee introduced and studied the separable weak bounded approximation property (BAP). Lee proved that the separable weak BAP of \({X^*}\), the dual space of a Banach space \({X}\), coincides with the BAP of \({X^*}\) whenever \({X^{**}}\) has the weak Radon–Nikodým property. We show that the separable weak BAP and the BAP are always the same properties.
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