Geodesic
On the Convergence Vector Space L,(E, F) and its Dual Space
Canadian mathematical bulletin, Tome 21 (1978) no. 3, pp. 279-284

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

Let E be a locally convex tvs, F a normed space and the space of continuous linear mappings from E into F In this paper, we investigate the continuous convergence structure (c-structure) on. denotes the resulting convergence vector space (cvs).The c-structure is by definition the coarsest cvs structure on making evaluation a continuous mapping. 
Beattie, Ronald. On the Convergence Vector Space L,(E, F) and its Dual Space. Canadian mathematical bulletin, Tome 21 (1978) no. 3, pp. 279-284. doi: 10.4153/CMB-1978-049-6
@article{10_4153_CMB_1978_049_6,
     author = {Beattie, Ronald},
     title = {On the {Convergence} {Vector} {Space} {L,(E,} {F)} and its {Dual} {Space}},
     journal = {Canadian mathematical bulletin},
     pages = {279--284},
     year = {1978},
     volume = {21},
     number = {3},
     doi = {10.4153/CMB-1978-049-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1978-049-6/}
}
TY  - JOUR
AU  - Beattie, Ronald
TI  - On the Convergence Vector Space L,(E, F) and its Dual Space
JO  - Canadian mathematical bulletin
PY  - 1978
SP  - 279
EP  - 284
VL  - 21
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1978-049-6/
DO  - 10.4153/CMB-1978-049-6
ID  - 10_4153_CMB_1978_049_6
ER  - 
%0 Journal Article
%A Beattie, Ronald
%T On the Convergence Vector Space L,(E, F) and its Dual Space
%J Canadian mathematical bulletin
%D 1978
%P 279-284
%V 21
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1978-049-6/
%R 10.4153/CMB-1978-049-6
%F 10_4153_CMB_1978_049_6

[1] 1. Binz, E., Continuous Convergence on , Lecture Notes in Mathematics, no. 469, Springer-Verlag, Berlin, 1975. Google Scholar

[2] 2. Butzmann, H. P., Über die -Reflexivität von , Comment. Math. Helv., 47 (1972), 92-101. Google Scholar

[3] 3. Fischer, H. R., Limesräume, Math. Ann., 137 (1959), 269-303. Google Scholar

[4] 4. Grothendieck, A., Produits Tensoriels Topologiques et Espaces Nucléaires, Memoirs of the A.M.S. 16, 1966. Google Scholar

[5] 5. Schaefer, H. H., Topological Vector Spaces, Springer-Verlag, 1971. Google Scholar

Cité par Sources :