Mendoza Casas, Jose 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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Official URL: http://www.sciencedirect.com/science/article/pii/S0022247X03001690
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 10:34 |
| Last Modified: | 25 Oct 2012 10:34 |
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