On the positive approximation property

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Abstract

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.
Original languageEnglish
Pages (from-to)719-742
JournalPositivity
Volume20
Issue number3
Early online date05 Nov 2015
DOIs
Publication statusPublished - Sept 2016

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