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

  Published:2008-03-01
 Printed: Mar 2008
Canadian Mathematical Bulletin
  • Belmesnaoui Aqzzouz
  • Redouane Nouira
  • Larbi Zraoula
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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]
 
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