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Metric Characterizations of Inner Product Spaces

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Inner Product Structures

Part of the book series: Mathematics and its Applications ((MAIA,volume 25))

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Abstract

The problem of the kind of metrics on certain sets has attracted the attention of many mathematicians. Perhaps the oldest characterizations of metrics on certain sets of the projective space Pn is the famous result of the great Italian mathematician E. Beltrami, which is as follows.

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© 1987 D. Reidel Publishing Company, Dordrecht, Holland

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Istrăţescu, V.I. (1987). Metric Characterizations of Inner Product Spaces. In: Inner Product Structures. Mathematics and its Applications, vol 25. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3713-0_4

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  • DOI: https://doi.org/10.1007/978-94-009-3713-0_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8162-7

  • Online ISBN: 978-94-009-3713-0

  • eBook Packages: Springer Book Archive

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