Abstract
Necessary and sufficient conditions under which the Cesaro-Orlicz sequence spaceces ϕ is nontrivial are presented. It is proved that for the Luxemburg norm, Cesaro-Orlicz spacesces ϕ have the Fatou property. Consequently, the spaces are complete. It is also proved that the subspace of order continuous elements inces ϕ can be defined in two ways. Finally, criteria for strict monotonicity, uniform monotonicity and rotundity (= strict convexity) of the spacesces ϕ are given.
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