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Linear interpolation and linear extension of functions

Part of the Lecture Notes in Mathematics book series (LNM,volume 399)

Keywords

  • Closed Subset
  • Banach Algebra
  • Linear Extension
  • Extension Operator
  • Continuous Form

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Bibliography

  1. Corson, H.H. and Lindenstrauss, J., On simultaneous extensions of continuous functions. Bull. Amer. Math. Soc. 71 (1965) 542–545

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  2. Dhombres, J., Sur les opérateurs multiplicativement liés. Mémoires de la Soc. Math. de France, No.57, 1971 (Thèse).

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  3. Dhombres, J., Functional equations on semi-groups arising from the theory of means. Nanta Mathematica No.1, 6, (1972) (to appear)

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  4. Dugundji, J., An extension of Tietze's theorem. Pacific J. Math. 1, (1951), 353–367

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  5. Michael, E. and Pelczynski, A., A linear extension theorem. Illinois J. Math., 11, (1967), 555–562

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  6. Rudin, W., Fourier analysis in groups. Interscience Pub., New York, 1962

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  7. Whitney, H., Analytic extensions of differentiable functions defined in closed sets. Trans. Amer. Math. Soc., 36, (1934), 63–89

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© 1974 Springer-Verlag Berlin · Heidelberg

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Dhombres, J.G. (1974). Linear interpolation and linear extension of functions. In: Garnir, H.G., Unni, K.R., Williamson, J.H. (eds) Functional Analysis and its Applications. Lecture Notes in Mathematics, vol 399. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063567

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  • DOI: https://doi.org/10.1007/BFb0063567

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06869-3

  • Online ISBN: 978-3-540-37827-3

  • eBook Packages: Springer Book Archive