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Isometries of the unit sphere

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Abstract

It is shown that isometries between the unit spheres of finite dimensional Banach spaces necessarily map antipodal points to antipodal points.

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Authors and Affiliations

  1. Department of Mathematics & Statistics, University of New Brunswick, E3B 5A3, Fredericton, New Brunswick, Canada

    Daryl Tingley

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  1. Daryl Tingley
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Tingley, D. Isometries of the unit sphere. Geom Dedicata 22, 371–378 (1987). https://doi.org/10.1007/BF00147942

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  • DOI: https://doi.org/10.1007/BF00147942

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