A $T$-system which is not a Bernstein system
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- by Richard G. Long PDF
- Proc. Amer. Math. Soc. 8 (1957), 925-927 Request permission
References
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S. Banach, Théorie des opérations linéaires, Warsaw, 1932.
S. N. Bernstein, Sur le problème inverse de la théorie de la meillure approximation des fonctions continues, C. R. Acad. Sci. Paris vol. 206 (1938) pp. 1520-1523.
- James A. Clarkson, Uniformly convex spaces, Trans. Amer. Math. Soc. 40 (1936), no. 3, 396–414. MR 1501880, DOI 10.1090/S0002-9947-1936-1501880-4
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- M. I. Kadec, On topological equivalence of uniformly convex spaces, Uspehi Mat. Nauk (N.S.) 10 (1955), no. 4(66), 137–141 (Russian). MR 0073939
- V. N. Nikol′skiÄ, Best approximation and basis in FrĂ©chet space, Doklady Akad. Nauk SSSR (N. S.) 59 (1948), 639–642 (Russian). MR 0026243
Additional Information
- © Copyright 1957 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 8 (1957), 925-927
- MSC: Primary 46.2X
- DOI: https://doi.org/10.1090/S0002-9939-1957-0090022-X
- MathSciNet review: 0090022