Abstract. We characterize Banach lattices on which the class of order weakly compact operators coincides with that of weakly compact operators and we give some consequences.
AMS Subject Classification
(1991): 46A40, 46B40, 46B42
Keyword(s):
order weakly compact operator,
weakly compact operator,
order continuous norm,
reflexive Banach lattice
Received July 13, 2011, and in final form April 20, 2012. (Registered under 37/2011.)
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