Estimates of disjoint sequences in Banach lattices and R.I. function spaces

Gonzalo, R.Jaramillo Aguado, Jesús Ángel2023-06-202023-06-202005-061385-129210.1007/s11117-003-2714-8https://hdl.handle.net/20.500.14352/50129We 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.engEstimates of disjoint sequences in Banach lattices and R.I. function spacesjournal articlehttp://www.springerlink.com/content/3783587308754353/fulltext.pdfhttp://www.springerlink.com/restricted access517.98Upper and lower estimatesR.I. spacessmoothnessAnálisis funcional y teoría de operadores