Skip to main content

Heredity in metric projections

  • Conference paper
  • First Online:
Functional Analysis and its Applications

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

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Carleson, L., and Jacobs, S., Best Uniform Approximation by Analytic Functions, Arkiv för Matematik 10(1972),219–229.

    Article  MathSciNet  MATH  Google Scholar 

  2. Domar, Y., On the uniqueness of minimal extrapolation, Arkiv för Matematik 4 (1960), 19–29.

    Article  MathSciNet  MATH  Google Scholar 

  3. Doob, J.L., A minimum problem in the theory of analytic functions, Duke Math. J. 8 (1941), 413–424.

    Article  MathSciNet  Google Scholar 

  4. Helson, H., Note on harmonic functions, Proceedings Amer. Math. Soc. 4 (1953), 686–691.

    Article  MathSciNet  MATH  Google Scholar 

  5. Kahane, J.-P, Projections métriques dans L1(T), C.R.Acad. Sc. Paris, série A, 276 (1973), 621–623.

    MathSciNet  MATH  Google Scholar 

  6. Kahane, J.-P, Projection métrique de L1(T) sur des sousespaces fermés invariants par translation, in Proceedings of the Conference on Approximation (Oberwolfach 1971), INSM 1972.

    Google Scholar 

  7. Macintyre, A.S., and Rogosinski, W.W., Extremum problems in the theory of analytic functions, Acta Mathematica 82 (1950), 275–325.

    Article  MathSciNet  MATH  Google Scholar 

  8. Riesz, F., Über Potenzreihen mit vorgeschriebenen Anfangsgliedern, Acta Mathematica 42 (1920), 145–171.

    Article  MathSciNet  Google Scholar 

  9. Rogosinski, W.W., and Shapiro, H.S., On certain extremum problems for analytic functions, Acta Mathematica 90 (1953), 287–318.

    Article  MathSciNet  MATH  Google Scholar 

  10. Singer, I., Best Approximation in normed linear spaces by elements of linear subspaces, Grundlehren der mathematischen Wissenschaften 171 (1970).

    Google Scholar 

  11. Shapiro, H.S., Regularity properties of the element of closest approximation, To appear.

    Google Scholar 

  12. Shapiro, H.S., Extremal problems for polynomials and power series, Dissertation M.I.T. 1952.

    Google Scholar 

  13. Tchebychef, P.L., Oeuvres, tomes I et II, St Petersbourg 1899 et 1907.

    Google Scholar 

  14. Zygmund, A., Trigonometric series, volI, Cambridge.

    Google Scholar 

  15. Zygmund, A., On the preservation of classes of functions, Journal of Math. and Mech. 8 (1959), 889–896.

    MATH  Google Scholar 

Download references

Authors

Editor information

H. G. Garnir K. R. Unni J. H. Williamson

Rights and permissions

Reprints and permissions

Copyright information

© 1974 Springer-Verlag Berlin · Heidelberg

About this paper

Cite this paper

Kahane, JP. (1974). Heredity in metric projections. 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/BFb0063584

Download citation

  • DOI: https://doi.org/10.1007/BFb0063584

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06869-3

  • Online ISBN: 978-3-540-37827-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics