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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the norm of the product
of linear functionals


Authors: C. Benítez, Manuel Fernández and María L. Soriano
Journal: Proc. Amer. Math. Soc. 127 (1999), 1437-1441
MSC (1991): Primary 46C15, 46B20
Published electronically: January 29, 1999
MathSciNet review: 1622777
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Abstract | References | Similar Articles | Additional Information

Abstract: Real inner product spaces are characterized by the points at which the homogeneous 2-polynomials that are products of equal-norm linear functionals attain their norm.


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Additional Information

C. Benítez
Affiliation: Departamento de Matemáticas, Universidad de Extremadura, 06071 Badajoz, Spain
Email: cabero@unex.es

Manuel Fernández
Affiliation: Departamento de Matemáticas, Universidad de Extremadura, 06071 Badajoz, Spain

María L. Soriano
Affiliation: Departamento de Matemáticas, Universidad de Extremadura, 06071 Badajoz, Spain

DOI: http://dx.doi.org/10.1090/S0002-9939-99-04997-7
PII: S 0002-9939(99)04997-7
Keywords: Characterization of inner product spaces
Received by editor(s): August 24, 1997
Published electronically: January 29, 1999
Communicated by: David R. Larson
Article copyright: © Copyright 1999 American Mathematical Society