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Several remarks on ball-coverings of normed spaces

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Abstract

This paper presents two counterexamples about ball-coverings of Banach spaces and shows a new characterization of uniformly non-square Banach spaces via ball-coverings.

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Authors and Affiliations

  1. Department of Mathematics, Xiamen University, Xiamen, 361005, P. R. China

    Li Xin Cheng, Zheng Hua Luo, Xue Fang Liu & Wen Zhang

Authors
  1. Li Xin Cheng
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  2. Zheng Hua Luo
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  3. Xue Fang Liu
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  4. Wen Zhang
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Correspondence to Li Xin Cheng.

Additional information

Supported by National Natural Science Foundation of China (Grant No. 10771175)

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Cheng, L.X., Luo, Z.H., Liu, X.F. et al. Several remarks on ball-coverings of normed spaces. Acta. Math. Sin.-English Ser. 26, 1667–1672 (2010). https://doi.org/10.1007/s10114-010-9036-0

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  • DOI: https://doi.org/10.1007/s10114-010-9036-0

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