Examples of non-archimedean twisted nuclear Fréchet spaces
Śliwa, Wiesław
Bull. Belg. Math. Soc. Simon Stevin, Tome 13 (2007) no. 5, p. 1017-1025 / Harvested from Project Euclid
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A Fréchet space is called twisted if it is not isomorphic to a countable product of Fréchet spaces with continuous norms. It is easy to show that no non-archimedean Fréchet space with a Schauder basis is twisted. We construct examples of non-archimedean twisted nuclear Fréchet spaces.
Publié le : 2007-12-14
Classification:  Projective limits of Fréchet spaces,  strong dual of Fréchet spaces,  46S10,  46A04,  46A11 
@article{1197908911,
     author = {\'Sliwa, Wies\l aw},
     title = {Examples of non-archimedean twisted nuclear Fr\'echet spaces},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {13},
     number = {5},
     year = {2007},
     pages = { 1017-1025},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1197908911}
}

Śliwa, Wiesław. Examples of non-archimedean twisted nuclear Fréchet spaces. Bull. Belg. Math. Soc. Simon Stevin, Tome 13 (2007) no. 5, pp.  1017-1025. http://gdmltest.u-ga.fr/item/1197908911/