On the positive approximation property

On the positive approximation property 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

On the positive approximation property

Positivity , Volume 20 (3) – Nov 5, 2015
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Publisher
Springer International Publishing
Copyright
Copyright © 2015 by Springer Basel
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-015-0383-z
Publisher site
See Article on Publisher Site

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.

Journal

PositivitySpringer Journals

Published: Nov 5, 2015

References

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