Using a different approach to that of Popa, we arrive at an alternative definition of the positive approximation property for order complete Banach lattices. Some results associated with this new approach may be of independent interest. We also prove a Banach lattice analogue of an old characterization, due to Palmer, of the metric approximation property in terms of the continuous bidual of the ideal of approximable operators.
Positivity – Springer Journals
Published: Nov 5, 2015
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