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Journal of Function Spaces
Volume 2015 (2015), Article ID 787291, 7 pages
Research Article

On the Geometry of Müntz Spaces

1Department of Applied Mathematics, Moscow State Technical University MIREA, Avenue Vernadsky 78, Moscow 119454, Russia
2Institute for Mathematics, University of Paderborn, Warburger Straße 100, 33098 Paderborn, Germany

Received 22 February 2015; Revised 14 April 2015; Accepted 17 April 2015

Academic Editor: Stanislav Hencl

Copyright © 2015 Sergey V. Ludkovsky and Wolfgang Lusky. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. C. Müntz, Über den Approximationssatz von Weierstrass, H.A. Schwarz Festschrift, Berlin, Germany, 1904.
  2. O. Szasz, “Über die Approximation stetiger Funktionen durch lineare AGGregate von Potenzen,” Mathematische Annalen, vol. 77, no. 4, pp. 482–496, 1916. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  3. V. I. Gurariy and V. Macaev, “Lacunary power sequences in C and Lp,” Izvestiya Akademii Nauk SSSR, vol. 30, pp. 3–14, 1966. View at Google Scholar
  4. D. J. Newman, “A Müntz space having no complement,” Journal of Approximation Theory, vol. 40, no. 4, pp. 351–354, 1984. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  5. V. I. Gurariy and W. Lusky, Geometry of Müntz Spaces and Related Questions, vol. 1870 of Lecture Notes in Mathematics, Springer, Berlin , Germany, 2005.
  6. A. Albiac and N. J. Kalton, Topics in Banach Space Theory, vol. 233 of Graduate Texts in Mathematics, Springer, Berlin, Germany, 2006.
  7. J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces I, vol. 92 of Ergebnisse der Mathematik und ihrer Grenzgebiete, Springer, Berlin, Germany, 1977.
  8. J. A. Clarkson and P. Erdös, “Approximation by polynomials,” Duke Mathematical Journal, vol. 10, pp. 5–11, 1943. View at Publisher · View at Google Scholar · View at MathSciNet