Convex unconditionality and summability of weakly null sequences

Details Convex unconditionality and summability of weakly null sequences Convex unconditionality and summability of weakly null sequences

1995-12-19

arxiv.org/abs/math/9512209v1

Mathematics

Functional Analysis

Scientific paper

It is proved that every normalized weakly null \sq\ has a sub\sq\ which is
convexly unconditional. Further, an Hierarchy of summability methods is
introduced and with this we give a complete classification of the complexity
of weakly null \sq s.

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