%0 Journal Article %A Na Cheng and Zi-li Chen %D 2010 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 39, 2010 %T Some Properties of b-Weakly Compact Operators on Banach lattice %U https://publications.waset.org/pdf/6747 %V 39 %X We investigate the sufficient condition under which each positive b-weakly compact operator is Dunford-Pettis. We also investigate the necessary condition on which each positive b-weakly compact operator is Dunford-Pettis. Necessary condition on which each positive b-weakly compact operator is weakly compact is also considered. We give the operator that is semi-compact, but it is not bweakly. We present a necessary and sufficient condition under which each positive semi-compact operator is b-weakly compact. %P 428 - 431