CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCMB
Publications        
Abstract view

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

  Published:2011-04-06
 Printed: Dec 2011
  • Belmesnaoui Aqzzouz,
    Université Mohammed V-Souissi, Faculté des Sciences Économiques Juridiques et Sociales, Département d'Économie, B. P. 5295 SalaEljadida, Morocco
Format:   HTML   LaTeX   MathJax   PDF  

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, 46B40, 46B42 show english descriptions Ordered topological linear spaces, vector lattices [See also 06F20, 46B40, 46B42]
Ordered normed spaces [See also 46A40, 46B42]
Banach lattices [See also 46A40, 46B40]
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]
 

© Canadian Mathematical Society, 2014 : https://cms.math.ca/