2026-06-07T13:53:41Zhttps://docta.ucm.es/rest/oai/request

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

Estimates of disjoint sequences in Banach lattices and R.I. function spaces Gonzalo, R. Jaramillo Aguado, Jesús Ángel 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. 2023-06-20T09:39:32Z 2023-06-20T09:39:32Z 2005-06 journal article 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/ eng restricted access Springer