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Keywords:
Banach space; nearly uniform smoothness; finite dimensional decomposition; Banach-Saks property; fixed point property
Banach space; nearly uniform smoothness; finite dimensional decomposition; Banach-Saks property; fixed point property
Summary:
An infinite dimensional counterpart of uniform smoothness is studied. It does not imply reflexivity, but we prove that it gives some $l_p$-type estimates for finite dimensional decompositions, weak Banach-Saks property and the weak fixed point property.
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