@article{(Open Science Index):https://publications.waset.org/pdf/6747, title = {Some Properties of b-Weakly Compact Operators on Banach lattice}, author = {Na Cheng and Zi-li Chen}, country = {}, institution = {}, abstract = {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. }, journal = {International Journal of Mathematical and Computational Sciences}, volume = {4}, number = {3}, year = {2010}, pages = {428 - 431}, ee = {https://publications.waset.org/pdf/6747}, url = {https://publications.waset.org/vol/39}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 39, 2010}, }