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Norm identities which characterize inner product spaces

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The Geometry of Metric and Linear Spaces

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 490))

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References

  1. F. Behrend, Uber die Kleninste umschriebene und die grosste einschriebene Ellipse eines konrexen Bereichs, Math. Ann. 115 (1938), 379–411.

    Article  MathSciNet  MATH  Google Scholar 

  2. S.O. Carlsson, Orthogonality in normed linear spaces, Ark. Mat. 4 (1962), 297–318.

    Article  MathSciNet  MATH  Google Scholar 

  3. M.M. Day, On criteria of Kasahara and Blumenthal for inner product spaces, Proc. Amer. Math. Soc. 10 (1959), 92–100.

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  4. M.M. Day, Normed linear Spaces, Springer Verlag (1958).

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  5. J. Oman, Characterizations of inner product spaces, Ph.D. Dissertation, Michigan State Univ., East Lansing, Michigan, 1969.

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  6. D.A. Senechalle, Euclidean and non-Euclidean norms in a plane, Ill. J. Math. 15 (1971), 281–289.

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  7. -, Equations which characterize inner product spaces, Proc. A.M.S. 40 (1973), 209–214.

    Article  MathSciNet  MATH  Google Scholar 

  8. K. Sundaresan, Characterizations of inner product spaces, Math. Student 29 (1961), 41–45. *** DIRECT SUPPORT *** A00J4126 00005

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L. M. Kelly

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© 1975 Springer-Verlag

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Oman, J. (1975). Norm identities which characterize inner product spaces. In: Kelly, L.M. (eds) The Geometry of Metric and Linear Spaces. Lecture Notes in Mathematics, vol 490. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081137

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  • DOI: https://doi.org/10.1007/BFb0081137

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07417-5

  • Online ISBN: 978-3-540-37946-1

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