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Zi Li CHEN A. W. WICKSTEAD 《数学学报(英文版)》2007,23(3):457-466
We present here that F(E,F), the space of all r-compact operators from E into F, is a generalised sublattice of L^r(E, F) for arbitary Banach lattices E and F, and that the characterization of the regular norm on F(E, F) is order continuous. Some conditions for F(E, F) to be a KB-space or a band in .L(E, F) are also provided. 相似文献
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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. 相似文献
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Belmesnaoui Aqzzouz Aziz Elbour 《Journal of Mathematical Analysis and Applications》2009,355(2):541-547
We study the relation between the class of semi-compact operators and the class of order weakly compact operators and we give some interesting consequences. 相似文献
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