2 00 4 Estimates of Disjoint Sequences in Banach Lattices and R . I . Function Spaces
نویسندگان
چکیده
We introduce U DS p-property (resp. U DT q-property) in Banach lattices as the property that every normalized disjoint sequence has a subse-quence with an upper p-estimate (resp. lower q-estimate). In the case of rearrangement invariant spaces, the relationships with Boyd indices of the space are studied. Some applications of these properties are given to the high order smoothness of Banach lattices, in the sense of the existence of differentiable bump functions.
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