Title of article
About positive weak Dunford–Pettis operators on Banach lattices
Author/Authors
Moussa، نويسنده , , M. and Bouras، نويسنده , , K.، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2011
Pages
6
From page
891
To page
896
Abstract
We characterize Banach lattices for which each positive weak Dunford–Pettis operator from a Banach lattice into another dual Banach lattice is almost Dunford–Pettis. Also, we give some sufficient and necessary conditions for which the class of positive weak Dunford–Pettis operators coincides with that of positive Dunford–Pettis operators, and we derive some consequences.
Keywords
Weak Dunford–Pettis operator , Dunford–Pettis operator , Order continuous norm , Schur property , Positive Schur property , KB-space
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2011
Journal title
Journal of Mathematical Analysis and Applications
Record number
1562000
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