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On the radial projection in normed spaces. (English) Zbl 0172.16102


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[1] W. A. Kirk and M. F. Smiley, Mathematical Notes: Another Characterization of Inner Product Spaces, Amer. Math. Monthly 71 (1964), no. 8, 890 – 891. · doi:10.2307/2312400
[2] C. F. Dunkl and K. S. Williams, Mathematical notes: a simple norm inequality, Amer. Math. Monthly 71 (1964), no. 1, 53 – 54. · Zbl 0178.16202 · doi:10.2307/2311304
[3] Robert C. James, Orthogonality and linear functionals in normed linear spaces, Trans. Amer. Math. Soc. 61 (1947), 265 – 292. · Zbl 0037.08001
[4] Garrett Birkhoff, Orthogonality in linear metric spaces, Duke Math. J. 1 (1935), no. 2, 169 – 172. · Zbl 0012.30604 · doi:10.1215/S0012-7094-35-00115-6
[5] S. Kakutani, Some characterizations of Euclidean space, Jap. J. Math. 16 (1939), 93 – 97. · Zbl 0022.15001
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