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On Nordlander’s conjecture in the three-dimensional case

George Z. Chelidze N. Muskhelishvili Institute of Computational Mathematics, Akuri St.8, Tbilisi, Georgia

TBD mathscidoc:1701.333154

Arkiv for Matematik, 47, (2), 267-272, 2007.5
In the present paper we prove, that in the real normed space$X$, having at least three dimensions, the Nordlander’s conjecture about the modulus of convexity of the space$X$is true, i.e. from the validity of Day’s inequality for a fixed real number from the interval (0,2), follows that$X$is an inner product space.
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@inproceedings{george2007on,
  title={On Nordlander’s conjecture in the three-dimensional case},
  author={George Z. Chelidze},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203625590438963},
  booktitle={Arkiv for Matematik},
  volume={47},
  number={2},
  pages={267-272},
  year={2007},
}
George Z. Chelidze. On Nordlander’s conjecture in the three-dimensional case. 2007. Vol. 47. In Arkiv for Matematik. pp.267-272. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203625590438963.
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