Geodesic
Basis sequences in a Montel space
Matematičeskie zametki, Tome 6 (1969) no. 3, pp. 329-334 Cet article a éte moissonné depuis la source Math-Net.Ru

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We establish the following theorem: for a Frechet space $E$ to be a Montel space it is necessary and sufficient that any basis sequence in $E$ contains an absolute basis subsequence that spans a non-normable space. 
@article{MZM_1969_6_3_a9,
     author = {L. E. Lerer},
     title = {Basis sequences in {a~Montel} space},
     journal = {Matemati\v{c}eskie zametki},
     pages = {329--334},
     year = {1969},
     volume = {6},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1969_6_3_a9/}
}
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L. E. Lerer. Basis sequences in a Montel space. Matematičeskie zametki, Tome 6 (1969) no. 3, pp. 329-334. http://geodesic.mathdoc.fr/item/MZM_1969_6_3_a9/