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Convex unconditionality and summability of weakly null sequences |
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| Authors: | S A Argyros S Mercourakis A Tsarpalias |
| Institution: | (1) Department of Mathematics, University of Athens, 15784 Athens, Greece |
| Abstract: | It is proved that every normalized weakly null sequence has a subsequence which is convexly unconditional. Further, a hierarchy of summability methods is introduced and with this we give a complete classification of the complexity of weakly null sequences. |
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