About positive weak Dunford–Pettis operators on Banach lattices

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• 作者：M. Moussa ; ^a ; ^{mohammed.moussa09@gmail.com"" rel=""nofollow} ; K. Bouras^a ; ^{bouraskhalid@hotmail.com"" rel=""nofollow}
• 关键词：Weak Dunford&#x2013 ; Pettis operator ; Dunford&#x2013 ; Pettis operator ; Order continuous norm ; Schur property ; Positive Schur property ; KB-space
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2011
• 出版时间：15 September 2011
• 年：2011
• 卷：381
• 期：2
• 页码：891-896
• 全文大小：132 K

文摘

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.