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Some results on Singer orthogonality and characterizations of inner product spaces

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References

  1. J.Alonso, Ortogonalidad en espacios normados. Thesis, Univ. of Extremadura 1984.

  2. J. Alonso andC. Benítez, Orthogonality in normed linear spaces: a survey. Part I: Main properties. Extracta Math.3, 1–15 (1988).

    Google Scholar 

  3. J. Alonso andC. Benítez, Orthogonality in normed linear spaces: a survey. Part II: Relations between main orthogonalities. Extracta Math.4, 121–131 (1989).

    Google Scholar 

  4. G. Birkhoff, Orthogonality in linear metric spaces. Duke Math. J.1, 169–172 (1935).

    Google Scholar 

  5. M.Del Rio, Ortogonalidad en espacios normados y caracterización de espacios prehilbertianos. Thesis, Univ. de Santiago de Compostela 1975.

  6. R. C. James, Orthogonality in normed linear spaces. Duke Math. J.12, 291–301 (1945).

    Google Scholar 

  7. R. C. James, Orthogonality and linear functionals in normed linear spaces. Trans. Amer. Math. Soc.61, 265–292 (1947).

    Google Scholar 

  8. O. P. Kapoor andS. B. Mathur, Some geometric characterizations of inner product spaces. Bull. Austral. Math. Soc.24, 239–246 (1981).

    Google Scholar 

  9. I. Singer, Unghiuri abstracte şi funcţii trigonometrice in spaţii Banach. Acad. R. P. Romine. Bul. Sţi. Secţ. Mat. Fiz.9, 29–42 (1957).

    Google Scholar 

  10. L. Zheng andZ. Yadong, Singer orthogonality and characterizations of inner product spaces. Arch. Math.55, 588–594 (1990).

    Google Scholar 

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This paper was written while the author was visiting the Department of Mathematics of the Colorado University at Boulder (USA) in April, 1992.

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Alonso, J. Some results on Singer orthogonality and characterizations of inner product spaces. Arch. Math 61, 177–182 (1993). https://doi.org/10.1007/BF01207467

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