Some characterizations of weakly compact operator on Banach lattices
We establish necessary and sufficient conditions under which each operator between Banach lattices is weakly compact and we give some consequences.
Keywordsweakly compact operator order continuous norm KB-space
MSC 201046A40 46B40 46B42
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- W. Wnuk: Some characterizations of Banach lattices with the Schur property. Congress on Functional Analysis (Madrid, 1988). Rev. Mat. Univ. Complutense Madr. 2, No. Suppl., (1989), 217–224.Google Scholar
© Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic 2011