Some characterizations of weakly compact operator on Banach lattices
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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