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Interpolation in a Banach space. (English) Zbl 0332.41024


MSC:

41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
41A05 Interpolation in approximation theory
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References:

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[2] Banach S.: Théorie des opérations linéaires. Warszawa 1932. · Zbl 0005.20901
[3] Day M. M.: Normed linear spaces. Springer 1958. · Zbl 0082.10603
[4] Garkavi A. L.: On the best net and the best section of a set in a normed linear space. (in Russian), Izv. Akad. Nauk SSSR, ser. mat. 26 (1962), 87-106. · Zbl 0108.10801
[5] Kolmogorov A. N.: Über die beste Annäherung von Funktionen einer gegeben Funktionenklasse. Ann. of Math. 37 (1936), 107-110. · Zbl 0013.34903 · doi:10.2307/1968691
[6] Lorentz G. G.: Approximations of functions. Holt, Rinehart and Winston 1966. · Zbl 0153.38901
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[8] Singer I.: Quelques applications d’un dual du Théorème de Hahn-Banach. C.R. Acad. Sci. (Paris) 247 (1958), 846-849. · Zbl 0082.10904
[9] Tihomirov V. M.: Widths of sets in functional spaces and the theory of best approximations. (in Russian), Uspehi mat. nauk 15 (1960), No 3, 81 - 120.
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