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

The Duality Problem for the Class of AM-Compact Operators on Banach Lattices

  Published:2008-03-01
 Printed: Mar 2008
  • Belmesnaoui Aqzzouz
  • Redouane Nouira
  • Larbi Zraoula
Format:   HTML   LaTeX   MathJax   PDF   PostScript  

Abstract

We prove the converse of a theorem of Zaanen about the duality problem of positive AM-compact operators.
Keywords: AM-compact operator, order continuous norm, discrete vector lattice AM-compact operator, order continuous norm, discrete vector lattice
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/