Abstract
For a Banach space E with Schauder basis, we prove that the n fold symmetric tensor product ˆ ⊗ n µ, sE has a Schauder basis for all symmetric uniform crossnorms µ. This is done by modifying the square ordering on N n and showing that the new ordering gives tensor product bases in both ˆ ⊗ n µE and ˆ ⊗ n µ, sE.
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