0 TWO CHARACTERIZATIONS OF THE STANDARD UNIT VECTOR BASIS OF l 1

نویسنده

  • Maria Girardi
چکیده

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 l1. We show that a normalized unconditional basic sequence in l1 that is semi-normalized in l∞ is equivalent to the standard unit vector basis of l1.

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تاریخ انتشار 2000