Geodesic
On the equality between some classes of operators on Banach lattices
Mathematica Bohemica, Tome 137 (2012) no. 3, pp. 347-354.

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We establish some sufficient conditions under which the subspaces of Dunford-Pettis operators, of M-weakly compact operators, of L-weakly compact operators, of weakly compact operators, of semi-compact operators and of compact operators coincide and we give some consequences.
DOI : 10.21136/MB.2012.142899
Classification : 46A40, 46B28, 46B40, 46B42, 47B65
Keywords: M-weakly compact operator; L-weakly compact operator; Dunford-Pettis operator; weakly compact operator; semi-compact operator; compact operator; order continuous norm; discrete Banach lattice; positive Schur property 
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Aqzzouz, Belmesnaoui; Elbour, Aziz; Moussa, Mohammed. On the equality between some classes of operators on Banach lattices. Mathematica Bohemica, Tome 137 (2012) no. 3, pp. 347-354. doi : 10.21136/MB.2012.142899. http://geodesic.mathdoc.fr/articles/10.21136/MB.2012.142899/

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