Geodesic
Strict Topology on Paracompact Locally Compact Spaces
Canadian journal of mathematics, Tome 29 (1977) no. 1, pp. 216-219

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

In this paper, X denotes a Hausdorff paracompact locally compact space, E a Hausdorff locally convex space over K, the field of real or complex numbers (we call the elements of K scalars), a filtering upwards family of semi-norms on E generating the topology of E, Cb(X) the space of all continuous scalar-valued funcions on X, and Cb(X, E) the space of all continuous, bounded E-valued functions. 
Khurana, Surjit Singh. Strict Topology on Paracompact Locally Compact Spaces. Canadian journal of mathematics, Tome 29 (1977) no. 1, pp. 216-219. doi: 10.4153/CJM-1977-021-8
@article{10_4153_CJM_1977_021_8,
     author = {Khurana, Surjit Singh},
     title = {Strict {Topology} on {Paracompact} {Locally} {Compact} {Spaces}},
     journal = {Canadian journal of mathematics},
     pages = {216--219},
     year = {1977},
     volume = {29},
     number = {1},
     doi = {10.4153/CJM-1977-021-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1977-021-8/}
}
TY  - JOUR
AU  - Khurana, Surjit Singh
TI  - Strict Topology on Paracompact Locally Compact Spaces
JO  - Canadian journal of mathematics
PY  - 1977
SP  - 216
EP  - 219
VL  - 29
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1977-021-8/
DO  - 10.4153/CJM-1977-021-8
ID  - 10_4153_CJM_1977_021_8
ER  - 
%0 Journal Article
%A Khurana, Surjit Singh
%T Strict Topology on Paracompact Locally Compact Spaces
%J Canadian journal of mathematics
%D 1977
%P 216-219
%V 29
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1977-021-8/
%R 10.4153/CJM-1977-021-8
%F 10_4153_CJM_1977_021_8

[1] 1. Conway, J. B., The strict topology and compactness in the space of measures, Trans. Amer. Math. Soc. 126 (1967), 474–486. Google Scholar

[2] 2. Fontenot, R. A., Strict topologies for vector-valued junctions, Can. J. Math. 26 (1974), 841–89)3. Google Scholar

[3] 3. Katsaras, A. K., Spaces of vector measures, Trans. Amer. Math. Soc. 206 (1975), 313–328. Google Scholar

[4] 4. Khurana, S. S., Convergent sequences of regular measures, Bull. Acad. Polon. Sci. Sér. Math. Astronom. Phys. 24 (1976), 37–42. Google Scholar

[5] 5. Pryce, J. D., A device of R. J. Whitley applied to pointwise compactness in spaces of continuous functions, Proc. London Math. Soc. 23 (1971), 032–546. Google Scholar

[6] 6. Schaeifer, H. H., Topological vector spaces (Macmillan, New York, 1966). Google Scholar

[7] 7. Shuchat, A., Integral representation theorems in topological vector spaces, Trans. Amer. Math. Soc. 172 (1972), 373–397. Google Scholar

[8] 8. Wells, J., Bounded continuous functions on locally compact spaces, Michigan Math. J. 12 (1965), 119–126. Google Scholar

Cité par Sources :