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On some characterizations of inner product spaces

Mendoza Casas, José and Pakhrou, Tijani (2003) On some characterizations of inner product spaces. Journal of Mathematical Analysis and Applications, 282 (1). pp. 369-382. ISSN 0022-247X

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Abstract

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.


Item Type:Article
Uncontrolled Keywords:Chebyshev radius; inner product space
Subjects:Sciences > Mathematics > Numerical analysis
ID Code:16865
References:

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.

Deposited On:25 Oct 2012 08:34
Last Modified:07 Feb 2014 09:37

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