Biblioteca de la Universidad Complutense de Madrid

On some characterizations of inner product spaces

Impacto

Mendoza Casas, José y 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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URL Oficial: http://www.sciencedirect.com/science/article/pii/S0022247X03001690




Resumen

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.


Tipo de documento:Artículo
Palabras clave:Chebyshev radius; inner product space
Materias:Ciencias > Matemáticas > Análisis numérico
Código ID:16865
Referencias:

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.

Depositado:25 Oct 2012 08:34
Última Modificación:07 Feb 2014 09:37

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