Geodesic
Centers of Infinite Bounded Sets in a Normed Space
Canadian journal of mathematics, Tome 25 (1973) no. 5, pp. 986-999

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

Čebyšev centers have been studied extensively. In this paper an alternate concept of center for infinite bounded point sets is introduced. Some of the results in this paper for this new type of center are similar to previous results for Čebyšev centers. 
Calder, J. R.; Coleman, W. P.; Harris, R. L. Centers of Infinite Bounded Sets in a Normed Space. Canadian journal of mathematics, Tome 25 (1973) no. 5, pp. 986-999. doi: 10.4153/CJM-1973-105-3
@article{10_4153_CJM_1973_105_3,
     author = {Calder, J. R. and Coleman, W. P. and Harris, R. L.},
     title = {Centers of {Infinite} {Bounded} {Sets} in a {Normed} {Space}},
     journal = {Canadian journal of mathematics},
     pages = {986--999},
     year = {1973},
     volume = {25},
     number = {5},
     doi = {10.4153/CJM-1973-105-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1973-105-3/}
}
TY  - JOUR
AU  - Calder, J. R.
AU  - Coleman, W. P.
AU  - Harris, R. L.
TI  - Centers of Infinite Bounded Sets in a Normed Space
JO  - Canadian journal of mathematics
PY  - 1973
SP  - 986
EP  - 999
VL  - 25
IS  - 5
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1973-105-3/
DO  - 10.4153/CJM-1973-105-3
ID  - 10_4153_CJM_1973_105_3
ER  - 
%0 Journal Article
%A Calder, J. R.
%A Coleman, W. P.
%A Harris, R. L.
%T Centers of Infinite Bounded Sets in a Normed Space
%J Canadian journal of mathematics
%D 1973
%P 986-999
%V 25
%N 5
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1973-105-3/
%R 10.4153/CJM-1973-105-3
%F 10_4153_CJM_1973_105_3

[1] 1. Day, M. M., James, R. C., and Swaminathan, S., Normed linear spaces that are uniformly convex in every direction, Can. J. Math, (to appear). Google Scholar

[2] 2. Day, M. M., Reflexive Banach spaces not isomorphic to uniformly convex spaces, Bull. Amer. Math. Soc. 47 (1941), 313–317. Google Scholar

[3] 3. Garkavi, A. L., The best possible net and the best possible cross-section of a set in a normed space, Izv. Akad. Nauk SSSR Ser. Mat. (1962), 87-106. Google Scholar

[4] 4. Zizler, V., On some rotundity and smoothness properties of Banach spaces (to appear in Dissertiones Math. Rozprawy Mat.). Google Scholar

Cité par Sources :