Abstract
In the present paper, we prove that the 3-fold projective tensor product c 0 ⊗ π c 0 ⊗ π c 0 of c 0 is not isomorphic to any subspace of c 0 ⊗ π c 0. In particular, this settles the long-standing open problem, originally raised by Joe Diestel in a private communication, of whether c 0 ⊗ π c 0 is isomorphic to c 0 ⊗ π c 0 ⊗ π c 0 .
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