Geodesic
Answer to a Question of S. Rolewicz
Canadian mathematical bulletin, Tome 46 (2003) no. 2, pp. 161-163

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

We exhibit examples of $F$ -spaces with trivial dual which are isomorphic to its quotient by a line, thus solving a problem in Rolewicz's Metric Linear Spaces.
DOI : 10.4153/CMB-2003-017-3
Mots-clés : 46M99, 46M15, 46A16, 46B20 
Sánchez, Félix Cabello; Castillo, Jesús M. F. Answer to a Question of S. Rolewicz. Canadian mathematical bulletin, Tome 46 (2003) no. 2, pp. 161-163. doi: 10.4153/CMB-2003-017-3
@article{10_4153_CMB_2003_017_3,
     author = {S\'anchez, F\'elix Cabello and Castillo, Jes\'us M. F.},
     title = {Answer to a {Question} of {S.} {Rolewicz}},
     journal = {Canadian mathematical bulletin},
     pages = {161--163},
     year = {2003},
     volume = {46},
     number = {2},
     doi = {10.4153/CMB-2003-017-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2003-017-3/}
}
TY  - JOUR
AU  - Sánchez, Félix Cabello
AU  - Castillo, Jesús M. F.
TI  - Answer to a Question of S. Rolewicz
JO  - Canadian mathematical bulletin
PY  - 2003
SP  - 161
EP  - 163
VL  - 46
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2003-017-3/
DO  - 10.4153/CMB-2003-017-3
ID  - 10_4153_CMB_2003_017_3
ER  - 
%0 Journal Article
%A Sánchez, Félix Cabello
%A Castillo, Jesús M. F.
%T Answer to a Question of S. Rolewicz
%J Canadian mathematical bulletin
%D 2003
%P 161-163
%V 46
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2003-017-3/
%R 10.4153/CMB-2003-017-3
%F 10_4153_CMB_2003_017_3

[1] [1] Cabello Sánchez, F. and Castillo, J. M. F., The long homology sequence for quasi-Banach spaces, with applications. Positivity, to appear. Google Scholar

[2] [2] Hilton, E. and Stammbach, K., A course in homological algebra. Graduate Texts in Math. 4, Springer-Verlag, 1970. Google Scholar

[3] [3] Kalton, N., Peck, N. T. and Roberts, W., An F-space sampler. LondonMath. Soc. Lecture Note Series 89, Cambridge University Press, 1984. Google Scholar

[4] [4] Peck, N. T. and Starbird, T., L is ω-transitive. Proc. Amer.Math. Soc. 283 (1981), 700–704. Google Scholar

[5] [5] Ribe, M., Examples for the nonlocally convex three space problem. Proc. Amer.Math. Soc. 237 (1979), 351–355. Google Scholar

[6] [6] Rolewicz, S., Metric Linear Spaces. D. Reidel Publishing Company and PWN. Polish Scientific Publishers, 1984. Google Scholar

Cité par Sources :