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Proceedings of the American Mathematical Society

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On the Aleksandrov problem of conservative distances


Authors: Bogdan Mielnik and Themistocles M. Rassias
Journal: Proc. Amer. Math. Soc. 116 (1992), 1115-1118
MSC: Primary 51K05
DOI: https://doi.org/10.1090/S0002-9939-1992-1101989-3
MathSciNet review: 1101989
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Abstract: A case of the Aleksandrov problem for unit distance preserving mappings between metric spaces is solved. The relevance of methods used in mathematical foundations of quantum mechanics is shown for another case of Aleksandrov problem involving angular distances $ \pi /2$ on the unit sphere.


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DOI: https://doi.org/10.1090/S0002-9939-1992-1101989-3
Article copyright: © Copyright 1992 American Mathematical Society