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Erratum: The Duality Problem For The Class of AM-Compact Operators On Banach Lattices |
Canad. Math. Bull. 54(2011), 577-579
Published:2011-04-06
Printed: Dec 2011
Printed: Dec 2011
- Belmesnaoui Aqzzouz,
Abstract
It is proved that if a positive operator
$S: E \rightarrow F$ is AM-compact whenever its adjoint
$S': F' \rightarrow E'$ is AM-compact, then either the
norm of F is order continuous or $E'$ is discrete.
This note corrects an error in the proof of Theorem 2.3 of
B. Aqzzouz, R. Nouira, and L. Zraoula, The duality problem for
the class of AM-compact operators on Banach lattices. Canad. Math. Bull.
51(2008).
| MSC Classifications: |
46A40 - Ordered topological linear spaces, vector lattices [See also 06F20, 46B40, 46B42] 46B40 - Ordered normed spaces [See also 46A40, 46B42] 46B42 - Banach lattices [See also 46A40, 46B40] |