In this paper we introduce and investigate classes of Fréchet and (DF)-spaces which constitute a very general frame in which the problem of topologies of Grothendieck and some related dual questions have a positive answer. Many examples of spaces in theses classes are provided, in particular spaces of sequences and functions. New counterexamples to the problems of Grothendieck are given.
@article{urn:eudml:doc:42528, title = {Tensor stable Fr\'echet and (DF)-spaces.}, journal = {Collectanea Mathematica}, volume = {42}, year = {1991}, pages = {199-236}, zbl = {0808.46001}, mrnumber = {MR1203181}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:42528} }
Bonet, José; Díaz, Juan Carlos; Taskinen, Jari. Tensor stable Fréchet and (DF)-spaces.. Collectanea Mathematica, Tome 42 (1991) pp. 199-236. http://gdmltest.u-ga.fr/item/urn:eudml:doc:42528/