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Mathematics > Functional Analysis

arXiv:math/0404526 (math)
[Submitted on 29 Apr 2004]

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

Authors:R. Gonzalo, J. A. Jaramillo
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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.
Subjects: Functional Analysis (math.FA)
MSC classes: 46B42; 46E30; 46G05
Cite as: arXiv:math/0404526 [math.FA]
  (or arXiv:math/0404526v1 [math.FA] for this version)
  https://doi.org/10.48550/arXiv.math/0404526

Submission history

From: Jesús Jaramillo A. [view email]
[v1] Thu, 29 Apr 2004 10:51:52 UTC (12 KB)
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