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Normen von Projektionen in Mehreren Veränderlichen

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Part of the book series: International Series of Numerical Mathematics ((ISNM,volume 75))

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Zusammenfassung

Es sei K ⊂ ℝr kompakt, C (K) der Raum der stetigen reellwertigen Funktionen auf K und ℙ ⊂ C (K) ein endlichdimensionaler Teilraum von C (K). Wir nennen eine lineare Abbildung L: C (K) → ℙ eine Projektion von C (K) auf ℙ, falls L surjektiv ist und L° L = L gilt.

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Literatur

  1. Daugavet, I.K.: Some applications of the Marcinkiewicz-Berman identity. Vestnik Leningrad Univ. Math. 1, 321 – 327 (1974)

    Google Scholar 

  2. Faber, G.: Uber die interpolatorische Darstellung stetiger Funktionen. Jahresbericht DMV 23, 192 – 210 (1914)

    Google Scholar 

  3. Kogbetliantz, E.: Recherches sur la sommabilite des series ultraspherique par la methode des moyennes arithmetique. Journal de Mathematique (9), 3, 125 – 196 (1924)

    Google Scholar 

  4. Morris, P.D., Cheney, E.W.: On the existence and characterization of minimal projections. J. Reine Angew. Math. 270, 61 – 76 (1974)

    Article  Google Scholar 

  5. Müller, C.: Spherical harmonics. Berlin, Heidelberg, New York: Springer 1966

    Google Scholar 

  6. Müller, M.W.: Approximationstheorie. Wiesbaden: Akademische Verlagsgesellschaft 1978

    Google Scholar 

  7. Newman, D.J., Shapiro, H.S.: Jackson’s theorems in higher dimensions. Proc. Conf. Appr. Theory Oberwolfach 1963 Basel: Birkhauser 208 – 219, 1964

    Google Scholar 

  8. Ragozin, D.L.: Polynomial approximations on compact manifolds and homogeneous spaces. Trans. Amer. Math. Soc. 150, 41–53 (197.0)

    Google Scholar 

  9. Ragozin, D.L.: Constructive polynomial approximation on spheres and projective spaces. Trans. Amer. Math. Soc. 162, 157 – 170 (1972)

    Google Scholar 

  10. Sündermann, B.: Projektionen auf Polynomraume in mehreren Veranderlichen. Dissertation, Dortmund 1963

    Google Scholar 

  11. Sündermann, B.: On projection constants of polynomial spaces on the unit ball in several variables. Math. Z. 188, 111 - 117 (1984)

    Google Scholar 

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© 1985 Birkhäuser Verlag Basel

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Sündermann, B. (1985). Normen von Projektionen in Mehreren Veränderlichen. In: Schempp, W., Zeller, K. (eds) Multivariate Approximation Theory III. International Series of Numerical Mathematics, vol 75. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9321-3_37

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  • DOI: https://doi.org/10.1007/978-3-0348-9321-3_37

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-9995-6

  • Online ISBN: 978-3-0348-9321-3

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