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oai:docta.ucm.es:20.500.14352/501292023-08-28T06:36:48Zcom_20.500.14352_14col_20.500.14352_15

00925njm 22002777a 4500 dc Gonzalo, R. author Jaramillo Aguado, Jesús Ángel author 2005-06 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. 1385-1292 10.1007/s11117-003-2714-8 https://hdl.handle.net/20.500.14352/50129 http://www.springerlink.com/content/3783587308754353/fulltext.pdf http://www.springerlink.com/ Estimates of disjoint sequences in Banach lattices and R.I. function spaces