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/