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Bulletin of the American Mathematical Society
ISSN 1936-881X(e) ISSN 0002-9904(p)
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Rotundity, orthogonality, and characterizations of inner product spaces

Author(s): J. R. Holub
Journal: Bull. Amer. Math. Soc. 81 (1975), 1087-1089.
MSC (1970): Primary 46B99, 46C05, 46C10
MathSciNet review: 0380363
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References:

1.
G. Birkhoff, Orthogonality in linear metric spaces, Duke Math. J. 1 (1935), 169-172. MR 1545873
2.
J. Clarkson, Uniformly convex spaces, Trans. Amer. Math. Soc. 40 (1936), 396-414. MR 1501880
3.
M. M. Day, Normed linear spaces, Ergebnisse der Mathematik und ihrer Grenzgebiete, N. F., Heft 21, Academic Press, New York; Springer-Verlag, Berlin, 1962. MR 26 #2847.
4.
R. C. James, Orthogonality in normed linear spaces, Duke Math. J. 12 (1945), 291-302. MR 6, 273. MR 12199
5.
R. C. James, Orthogonality and linear functionals in normed linear spaces, Trans. Amer. Math. Soc. 61 (1947), 265-292. MR 9, 42. MR 21241
6.
R. C. James, Inner products in normed linear spaces, Bull. Amer. Math. Soc. 53 (1947), 559-566. MR 9, 42. MR 21242

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Additional Information:

DOI: 10.1090/S0002-9904-1975-13927-9
PII: S 0002-9904(1975)13927-9

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