Czechoslovak Mathematical Journal

, Volume 59, Issue 3, pp 827–834 | Cite as

The order σ-complete vector lattice of AM-compact operators



We establish necessary and sufficient conditions under which the linear span of positive AM-compact operators (in the sense of Fremlin) from a Banach lattice E into a Banach lattice F is an order σ-complete vector lattice.


AM-compact operator order continuous norm discrete vector lattice 

MSC 2000

46A40 46B40 46B42 


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Copyright information

© Mathematical Institute, Academy of Sciences of Czech Republic 2009

Authors and Affiliations

  1. 1.Faculté des Sciences Economiques, Juridiques et Sociales, Département d’EconomieUniversité Mohammed V-SouissiSala EljadidaMorocco

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