In this paper we modify a construction due to J. Taskinen to get a Fréchet space F which satisfies the density condition such that the complete injective tensor product l2 x~eF'b 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.
@article{urn:eudml:doc:44416, title = {The density condition in projective tensor products.}, journal = {Revista Matem\'atica de la Universidad Complutense de Madrid}, volume = {12}, year = {1999}, pages = {339-348}, zbl = {0995.46001}, mrnumber = {MR1740464}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44416} }
Heinrichs, Wolf-Dieter. The density condition in projective tensor products.. Revista Matemática de la Universidad Complutense de Madrid, Tome 12 (1999) pp. 339-348. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44416/