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
Restricted to Repository staff only until 31 December 2020.
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.
|Uncontrolled Keywords:||Chebyshev radius; inner product space|
|Subjects:||Sciences > Mathematics > Numerical analysis|
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:||13 Nov 2013 18:34|
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