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Centers of Infinite Bounded Sets in a Normed Space

  • J. R. Calder (a1), W. P. Coleman (a1) and R. L. Harris (a1)

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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.

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References

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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).
2. Day, M. M., Reflexive Banach spaces not isomorphic to uniformly convex spaces, Bull. Amer. Math. Soc. 47 (1941), 313317.
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.
4. Zizler, V., On some rotundity and smoothness properties of Banach spaces (to appear in Dissertiones Math. Rozprawy Mat.).
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Centers of Infinite Bounded Sets in a Normed Space

  • J. R. Calder (a1), W. P. Coleman (a1) and R. L. Harris (a1)

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