The density condition in projective tensor products.

Heinrichs, Wolf-Dieter. "The density condition in projective tensor products.." Revista Matemática Complutense 12.2 (1999): 339-348. <http://eudml.org/doc/44416>.

@article{Heinrichs1999,
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 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.},
author = {Heinrichs, Wolf-Dieter},
journal = {Revista Matemática Complutense},
keywords = {Tensor; Espacio de Montel; Producto tensorial; Espacios de Banach; Espacios de Frechet; topological tensor products; density condition; ultrapowers; Fréchet spaces; dual density condition for (DF)-spaces; problem of topologies},
language = {eng},
number = {2},
pages = {339-348},
title = {The density condition in projective tensor products.},
url = {http://eudml.org/doc/44416},
volume = {12},
year = {1999},
}

TY - JOUR
AU - Heinrichs, Wolf-Dieter
TI - The density condition in projective tensor products.
JO - Revista Matemática Complutense
PY - 1999
VL - 12
IS - 2
SP - 339
EP - 348
AB - 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.
LA - eng
KW - Tensor; Espacio de Montel; Producto tensorial; Espacios de Banach; Espacios de Frechet; topological tensor products; density condition; ultrapowers; Fréchet spaces; dual density condition for (DF)-spaces; problem of topologies
UR - http://eudml.org/doc/44416
ER -