Inner product spaces and the tri-spherical intersection property
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- by W. W. Comfort and Hugh Gordon PDF
- Proc. Amer. Math. Soc. 12 (1961), 327-329 Request permission
References
- Garrett Birkhoff, Orthogonality in linear metric spaces, Duke Math. J. 1 (1935), no. 2, 169–172. MR 1545873, DOI 10.1215/S0012-7094-35-00115-6
- Mahlon M. Day, Normed linear spaces, Reihe: Reelle Funktionen, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1958. MR 0094675
- Maurice Fréchet, Sur la définition axiomatique d’une classe d’espaces vectoriels distanciés applicables vectoriellement sur l’espace de Hilbert, Ann. of Math. (2) 36 (1935), no. 3, 705–718 (French). MR 1503246, DOI 10.2307/1968652 Ed. Helly, Über Mengen konvexer Körper mit gemeinschaftlichen Punkten, Jber. Deutsch. Math. Verein, vol. 32 (1923) pp. 175-176.
- Robert C. James, Inner product in normed linear spaces, Bull. Amer. Math. Soc. 53 (1947), 559–566. MR 21242, DOI 10.1090/S0002-9904-1947-08831-5
Additional Information
- © Copyright 1961 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 12 (1961), 327-329
- MSC: Primary 46.00
- DOI: https://doi.org/10.1090/S0002-9939-1961-0121629-X
- MathSciNet review: 0121629