Basis sequences in a~Montel space
Matematičeskie zametki, Tome 6 (1969) no. 3, pp. 329-334.

Voir la notice de l'article provenant de la source Math-Net.Ru

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},
     publisher = {mathdoc},
     volume = {6},
     number = {3},
     year = {1969},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1969_6_3_a9/}
}
TY  - JOUR
AU  - L. E. Lerer
TI  - Basis sequences in a~Montel space
JO  - Matematičeskie zametki
PY  - 1969
SP  - 329
EP  - 334
VL  - 6
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1969_6_3_a9/
LA  - ru
ID  - MZM_1969_6_3_a9
ER  - 
%0 Journal Article
%A L. E. Lerer
%T Basis sequences in a~Montel space
%J Matematičeskie zametki
%D 1969
%P 329-334
%V 6
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1969_6_3_a9/
%G ru
%F MZM_1969_6_3_a9
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/