Application of ${\rm (L)$ sets to some classes of operators}

The paper contains some applications of the notion of $L$ sets to several classes of operators on Banach lattices. In particular, we introduce and study the class of order ${\rm (L)$-Dunford-Pettis operators, that is, operators from a Banach space into a Banach lattice whose adjoint maps order bound...

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Bibliographic Details

Published in:	Mathematica Bohemica
Main Authors:	Kamal El Fahri, Nabil Machrafi, Jawad H'Michane, Aziz Elbour
Format:	Article
Language:	English
Published:	Institute of Mathematics of the Czech Academy of Science 2016-10-01
Subjects:	${\rm (L)$ set order $\rm(L)$-Dunford-Pettis operator weakly sequentially continuous lattice operations Banach lattice}
Online Access:	http://mb.math.cas.cz/full/141/3/mb141_3_3.pdf