We show that every tame Fréchet space admits a continuous norm and that every tame Köthe sequence space is quasi-normable.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-4-6,
author = {Krzysztof Piszczek},
title = {Tame K\"othe Sequence Spaces are Quasi-Normable},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
volume = {52},
year = {2004},
pages = {405-410},
zbl = {1118.46006},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-4-6}
}
Krzysztof Piszczek. Tame Köthe Sequence Spaces are Quasi-Normable. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) pp. 405-410. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-4-6/