WASET
	%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