论文标题
经营者的伴随和第二个伴随几乎是邓福德·佩蒂斯（Dunford-Pettis）
Operators whose adjoints and second adjoints are almost Dunford-Pettis
论文作者
论文摘要
首先，我们描述了Banach Lattices E，其双方都通过运营商的第二个伴随的方式具有正面的Schur财产，因为E几乎是Dunford-Pettis。接下来，我们扩展了有关Banach Lattices E和F的一些已知结果，在这些条件下，伴随的t*和第二个近几乎丁福特式操作员T的第二个伴随t **从E到F几乎是Dunford-Pettis。最后，我们证明，当t*和t **几乎是邓福德·佩蒂斯（Dunford-Pettis）的任何（几乎一定是邓福德·佩蒂斯（Dunford-Pettis））t，既有界，规则，订单有界或弱紧密的）。
First we characterize the Banach lattices E whose biduals have the positive Schur property by means of second adjoints of operators on E being almost Dunford-Pettis. Next we extend some known results concerning conditions on the Banach lattices E and F under which the adjoint T* and the second adjoint T** of any positive almost Dunford-Pettis operator T from E to F are almost Dunford-Pettis. Finally, we prove when T* and T** are almost Dunford-Pettis for any (non necessarily almost Dunford-Pettis) T that is either bounded, regular, order bounded or weakly compact.
