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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 characterizations of inner product spaces


Author: Detlef Laugwitz
Journal: Proc. Amer. Math. Soc. 50 (1975), 184-188
MSC: Primary 46B05
MathSciNet review: 0374873
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Abstract: The characterizations of inner product norms given by Tapia [10] make use of a generalized inner product in normed spaces. I shall give simpler proofs and a sharper result using a more geometrical approach.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1975-0374873-0
PII: S 0002-9939(1975)0374873-0
Keywords: Inner product, differentiability of the norm, convex bodies
Article copyright: © Copyright 1975 American Mathematical Society