On some sublattices of regular operators on Banach lattices

Authors

  • R. Nouira Universite Mohammed V-Souissi, Faculte des Sciences Economiques, Juridiques et Sociales, Departement d'Economie, B.P.~5295, Sala Eljadida, Morocco
  • B. Aqzzouz Universite Ibn Tofail, Facule des Sciences, Departement de Mathematiques, B.P.~133, Kenitra, Morocco 

DOI:

Keywords:

Abstract

We give some sufficient conditions under which the linear span of positive compact (resp. Dunford-Pettis, weakly compact, AM-compact) operators cannot be a vector lattice without being a sublattice of the order complete vector lattice of all regular operators. Also, some interesting consequences are obtained.

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Published

2008-12-25

Issue

Vol. 14 No. 4 (2008)

Section

Articles

How to Cite

Nouira, R., and B. Aqzzouz. “On Some Sublattices of Regular Operators on Banach Lattices”. Methods of Functional Analysis and Topology, vol. 14, no. 4, Dec. 2008, pp. 297-01, https://zen.imath.kiev.ua/index.php/mfat/article/view/392.