Geodesic
Almost closed linear subspaces of strict inductive limits of sequences of Fr\'echet spaces
Sbornik. Mathematics, Tome 9 (1969) no. 4, pp. 479-485

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

Sufficient conditions are given for the existence, in the strict inductive limit of an increasing ing sequence of Fréchet spaces, of nonclosed linear subspaces whose traces on the defining spaces are closed. These conditions are satisfied, in particular, by the Schwartz space of infinitely differentiable functions with compact support on finite-dimensional Euclidean space. References: 12 titles. 
@article{SM_1969_9_4_a3,
     author = {O. G. Smolyanov},
     title = {Almost closed linear subspaces of strict inductive limits of sequences of {Fr\'echet} spaces},
     journal = {Sbornik. Mathematics},
     pages = {479--485},
     publisher = {mathdoc},
     volume = {9},
     number = {4},
     year = {1969},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1969_9_4_a3/}
}
TY  - JOUR
AU  - O. G. Smolyanov
TI  - Almost closed linear subspaces of strict inductive limits of sequences of Fr\'echet spaces
JO  - Sbornik. Mathematics
PY  - 1969
SP  - 479
EP  - 485
VL  - 9
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_1969_9_4_a3/
LA  - en
ID  - SM_1969_9_4_a3
ER  - 
%0 Journal Article
%A O. G. Smolyanov
%T Almost closed linear subspaces of strict inductive limits of sequences of Fr\'echet spaces
%J Sbornik. Mathematics
%D 1969
%P 479-485
%V 9
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_1969_9_4_a3/
%G en
%F SM_1969_9_4_a3
O. G. Smolyanov. Almost closed linear subspaces of strict inductive limits of sequences of Fr\'echet spaces. Sbornik. Mathematics, Tome 9 (1969) no. 4, pp. 479-485. http://geodesic.mathdoc.fr/item/SM_1969_9_4_a3/