COMPLETE CONTINUITY PROPERTIES FORTHE FREMLIN PROJECTIVE TENSOR PRODUCT OFORLICZ SEQUENCE SPACES AND BANACH LATTICES

摘要

In this paper, we show that if ψ is an Orlicz function then l_ψ+ FX, the Fremlin projective tensor product of an Orlicz sequence space l_ψ and a Banach lattice X, has the complete continuity property (respectively, the analytic complete continuity property) if and only if both l_ψ and X have the same property.