Abstract
We construct a Banach spaceE, which has the Banach-Saks property and such thatL 2(E) does not have the Banach-Skas property. The construction is a somewhat tree-like modification of Baernstein’s space.
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Schachermayer, W. The Banach-Saks property is notL 2-hereditary. Israel J. Math. 40, 340–344 (1981). https://doi.org/10.1007/BF02761374
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DOI: https://doi.org/10.1007/BF02761374