Full paper in PDF:
$%W.-D. Heinrichs, The density condition in projective tensor products, Rev. Mat. Complut. 12 (1999), no. 1, 339348.%$

The Density Condition in Projective Tensor Products
Wolf-Dieter HEINRICHS
Fakultät für Mathematik und Informatik
Univorsität Leipzig
Augustusplatz
D-04109 Leipzig — Germany

Received: November 17, 1997
Revised: February 8, 1999

ABSTRACT

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 ox eFb  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.