On the positive approximation property

Using a different approach to that of Popa, we arrive at an alternative definition<br/>of the positive approximation property for order complete Banach lattices.<br/>Some results associated with this new approach may be of independent interest. We<br/>also prove a Banach lattice analogue of an old characterization, due to Palmer, of<br/>the metric approximation property in terms of the continuous bidual of the ideal of<br/>approximable operators.