Matematičeskie zametki, Tome 6 (1969) no. 3, pp. 329-334
Citer cet article
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/
@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/}
}
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
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
%U http://geodesic.mathdoc.fr/item/MZM_1969_6_3_a9/
%G ru
%F MZM_1969_6_3_a9
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.
