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Article

Title: Interpolation in a Banach space (English)
Author: Milota, Jaroslav
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 26
Issue: 1
Year: 1976
Pages: 84-92
Summary lang: Russian
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Category: math
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MSC: 41A65
MSC: 46B10
idZBL: Zbl 0332.41024
idMR: MR0390726
DOI: 10.21136/CMJ.1976.101375
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Date available: 2008-06-09T14:16:35Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/101375
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Reference: [1] Aubin J. P.: Interpolation et approximation optimales et "spline functions".J. Math. Anal. Appl. 24 (1968), 1-24. Zbl 0188.43702, MR 0231096, 10.1016/0022-247X(68)90046-2
Reference: [2] Banach S.: Théorie des opérations linéaires.Warszawa 1932. Zbl 0005.20901
Reference: [3] Day M. M.: Normed linear spaces.Springer 1958. Zbl 0082.10603, MR 0094675
Reference: [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. MR 0136969
Reference: [5] Kolmogorov A. N.: Über die beste Annäherung von Funktionen einer gegeben Funktionenklasse.Ann. of Math. 37 (1936), 107-110. MR 1503273, 10.2307/1968691
Reference: [6] Lorentz G. G.: Approximations of functions.Holt, Rinehart and Winston 1966. MR 0213785
Reference: [7] Murray F. J.: On complementary manifolds and projections in spaces $L\sb p$ and $l\sb p$.Trans. Amer. Math. Soc. 41 (1937), 138-152. MR 1501894
Reference: [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, MR 0098979
Reference: [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. MR 0117489
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