Full paper in PDF:
$%W.-D. Heinrichs, The density condition in projective tensor products, Rev. Mat. Complut. 12 (1999), no. 1, 339–348.%$

In this paper we modify a construction due to J. Taskinen to get a Fréchet space  which satisfies the density condition such that the complete injective tensor product does not satisfy the strong dual density condition of Bierstedt and Bonet. In this way a question that remained open in Heinrichs (1997) is solved.

1991 Mathematics Subject Classification: 46A04, 46E10.