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On some characterizations of inner product spaces

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Publication Date
2003-06-01
Authors
Pakhrou, Tijani
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Elsevier
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We study some characterizations of inner product spaces given in the literature. Among other things, we give an example showing that one of the characterizations given in the classical book of Amir (1986) is not correct.
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D. Amir, Characterizations of Inner Product Spaces, Birkhäuser, Basel, 1986. D.L. Cohn, Measure Theory, Birkhäuser, Basel, 1980. R. Durier, Optimal locations and inner products, J. Math. Anal. Appl. 207 (1997) 220–239. V. Klee, Circumspheres and inner products, Math. Scand. 8 (1960) 363–370. R.T. Rockafellar, Convex Analysis, Princeton Univ. Press, Princeton, 1970. W. Rudin, Functional Analysis, McGraw-Hill, 1973.
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