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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 |
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Additional information
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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