This is an announcement for the paper "Estimates of disjoint sequences in Banach lattices and r. i. function spaces" by R. Gonzalo and J. A. Jaramillo.
Abstract: We introduce UDSp-property (resp. UDTq-property) in Banach lattices as the property that every normalized disjoint sequence has a subsequence 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.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B42; 46E30; 46G05
The source file(s), disjoint.tex: 39217 bytes, is(are) stored in gzipped form as 0404526.gz with size 12kb. The corresponding postcript file has gzipped size 64kb.
Submitted from: jaramil@mat.ucm.es
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