Skip to main content

A solution of the translation-invariant subspace problem for weighted Lp on ℝ, ℝ+ or ZZ

II. Examples Of Radical Banach Algebras

Part of the Lecture Notes in Mathematics book series (LNM,volume 975)

Keywords

  • Invariant Subspace
  • Banach Algebra
  • Convolution Equation
  • Distortion Theorem
  • Unbounded Component

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.00
Price excludes VAT (Canada)
  • 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. L. Ahlfors, Untersuchungen zur Theorie der Konformen Abbildung und der ganzen Funktionen, Acta Soc. Sci. Fenn., 1, 9 (1930).

    MATH  Google Scholar 

  2. G. R. Allan, Ideals of rapidly growing functions, Proceedings International Symposium on Functional Analysis and its Applications, Ibadan, Nigeria, 1977.

    Google Scholar 

  3. A. Beurling, Études sur un problème de majoration, Uppsala 1933.

    Google Scholar 

  4. R. P. Boas, Entire Functions, Academic Press, New York, 1954.

    MATH  Google Scholar 

  5. H. G. Dales, Convolution algebras on the real line, this Volume.

    Google Scholar 

  6. Y. Domar, Cyclic elements under translation in weighted L1 spaces on ℝ+, Ark. Mat., 19 (1981), 137–144.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. _____, Translation invariant subspaces of weighted ℓP and Lp spaces, Math. Scand., 49 (1981), 133–144.

    MathSciNet  MATH  Google Scholar 

  8. _____, Extensions of the Titchmarsh convolution theorem with applications in the theory of invariant subspaces, Proc. London Math. Soc., to appear.

    Google Scholar 

  9. S. Grabiner, Analogies between Banach algebras of power series and weighted convolution algebras, this Volume.

    Google Scholar 

  10. A. L. Shields, Weighted shift operators and analytic function theory, Amer. Math. Soc. Mathematical Surveys, 13 (1974), 49–128.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1983 Springer-Verlag

About this paper

Cite this paper

Domar, Y. (1983). A solution of the translation-invariant subspace problem for weighted Lp on ℝ, ℝ+ or ZZ. In: Bachar, J.M., Bade, W.G., Curtis, P.C., Dales, H.G., Thomas, M.P. (eds) Radical Banach Algebras and Automatic Continuity. Lecture Notes in Mathematics, vol 975. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064552

Download citation

  • DOI: https://doi.org/10.1007/BFb0064552

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11985-2

  • Online ISBN: 978-3-540-39454-9

  • eBook Packages: Springer Book Archive