We show that for a sequence in a Banach space, the property of being stable under large perturbations characterizes the property of being equivalent to the unit vector basis of l 1. We show that a normalized unconditional basic sequence in l 1 that is semi-normalized in l ∞ is equivalent to the standard unit vector basis of l 1.
Positivity – Springer Journals
Published: Oct 17, 2004
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