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Erratum: The Duality Problem For The Class of AM-Compact Operators On Banach Lattices

Published online by Cambridge University Press:  20 November 2018

Belmesnaoui Aqzzouz
Belmesnaoui Aqzzouz*
Affiliation:
Université Mohammed V-Souissi, Faculté des Sciences Économiques Juridiques et Sociales, Département d’ Économie, B. P. 5295 SalaEljadida, Moroccoe-mail: baqzzouz@hotmail.com
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Abstract

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It is proved that if a positive operator $S\,:\,E\,\to \,F$ is $\text{AM}$-compact whenever its adjoint ${{S}^{'}}:{{F}^{'}}\to {{E}^{'}}$ is $\text{AM}$-compact, then either the norm of $\text{F}$ is order continuous or $E\prime $ is discrete.

Keywords

46A4046B4046B42
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 54 , Issue 4 , 01 December 2011 , pp. 577 - 579
Copyright
Copyright © Canadian Mathematical Society 2011

References

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