Geodesic
Locally convex spaces with fundamental sequences
Glasgow mathematical journal, Tome 14 (1973) no. 1, pp. 96-100

Voir la notice de l'article provenant de la source Cambridge University Press

After Dieudonné [3], many authors have considered locally convex topological vector spaces that admit a fundamental sequence of compact, precompact,... subsets. Their work has been essentially to identify them as strong duals of Fréchet-Montel spaces, under suitable additional assumptions (barrelledness or evaluability). However, it seems that these spaces have never been characterized without additional assumptions. That is the aim of the present paper. 
Wilde, Marc De. Locally convex spaces with fundamental sequences. Glasgow mathematical journal, Tome 14 (1973) no. 1, pp. 96-100. doi: 10.1017/S0017089500001798
@article{10_1017_S0017089500001798,
     author = {Wilde, Marc De},
     title = {Locally convex spaces with fundamental sequences},
     journal = {Glasgow mathematical journal},
     pages = {96--100},
     year = {1973},
     volume = {14},
     number = {1},
     doi = {10.1017/S0017089500001798},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500001798/}
}
TY  - JOUR
AU  - Wilde, Marc De
TI  - Locally convex spaces with fundamental sequences
JO  - Glasgow mathematical journal
PY  - 1973
SP  - 96
EP  - 100
VL  - 14
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500001798/
DO  - 10.1017/S0017089500001798
ID  - 10_1017_S0017089500001798
ER  - 
%0 Journal Article
%A Wilde, Marc De
%T Locally convex spaces with fundamental sequences
%J Glasgow mathematical journal
%D 1973
%P 96-100
%V 14
%N 1
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500001798/
%R 10.1017/S0017089500001798
%F 10_1017_S0017089500001798

Brudovskii, B. S., Countability conditions in locally convex spaces, Soviet Math.. 4 (1963), 1472–1474. Google Scholar

De Wilde, M., Réseaux dans les espaces linéaires á semi-normes, Mém Soc Roy Sci Liége 2, 18 (1969). Google Scholar

Dieudonné, J., Denumerability conditions in convex vector spaces, Proc. Amer. Math. Soc. 8 (1957), 367–372. Google Scholar | DOI

Garling, D. J. H., Locally convex spaces with denumerable systems of weakly compact sets, Proc. Cambridge Philos. Soc. 60 (1964), 813–815. Google Scholar | DOI

Garnir, H. G., De Wilde, M. and Schmets, J., Analyse Fonctionnelle, I (Basel-Stuttgart, 1968). Google Scholar

Hogbe-Nlend, H., Sur une question Dieudonné, de J., Bull. Soc. Math. France 98 (1970), 201–208. Google Scholar | DOI

Mahowald, M. and Gould, G., Quasi-barrelled locally convex spaces, Proc. Amer. Math. Soc.. 11 (1960), 811–816. Google Scholar | DOI

Cité par Sources :