A characterization of inner product spaces
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- by R. A. Tapia PDF
- Bull. Amer. Math. Soc. 79 (1973), 530-531
References
- Jean-Pierre Aubin, Optimal approximation and characterization of the error and stability functions in Banach spaces, J. Approximation Theory 3 (1970), 430–444. MR 275037, DOI 10.1016/0021-9045(70)90044-4
- Arne Beurling and A. E. Livingston, A theorem on duality mappings in Banach spaces, Ark. Mat. 4 (1962), 405–411 (1962). MR 145320, DOI 10.1007/BF02591622
- Robert Bonic and Flavio Reis, A characterization of Hilbert space, An. Acad. Brasil. Ci. 38 (1966), 239–241. MR 218877
- Felix E. Browder, On a theorem of Beurling and Livingston, Canadian J. Math. 17 (1965), 367–372. MR 176320, DOI 10.4153/CJM-1965-037-2
- Dennis F. Cudia, The geometry of Banach spaces. Smoothness, Trans. Amer. Math. Soc. 110 (1964), 284–314. MR 163143, DOI 10.1090/S0002-9947-1964-0163143-9
- M. Golomb and R. A. Tapia, The metric gradient in normed linear spaces, Numer. Math. 20 (1972/73), 115–124. MR 324406, DOI 10.1007/BF01404401
- Josef Kolomý, Some remarks on nonlinear functionals, Comment. Math. Univ. Carolinae 11 (1970), 693–704. MR 283639 8. S. Mazur, Über konvexe Mengen in linearen normierten Räumen, Studia Math. 4 (1933), 70-84.
- Robert M. McLeod, Mean value theorems for vector valued functions, Proc. Edinburgh Math. Soc. (2) 14 (1964/65), 197–209. MR 185052, DOI 10.1017/S0013091500008786
- Kondagunta Sundaresan, Smooth Banach spaces, Math. Ann. 173 (1967), 191–199. MR 218876, DOI 10.1007/BF01361710
Additional Information
- Journal: Bull. Amer. Math. Soc. 79 (1973), 530-531
- MSC (1970): Primary 46B99, 46C10
- DOI: https://doi.org/10.1090/S0002-9904-1973-13187-8
- MathSciNet review: 0315415