Skip to main content
SpringerLink
Log in

The uniqueness of norm problem in Banach algebras with finite dimensional radical

  • III. Automatic Continuity For Homomorphisms And Derivations
  • Conference paper
  • First Online:
Radical Banach Algebras and Automatic Continuity

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

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

Access this chapter

Log in via an institution
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. W. G. Bade and P. C. Curtis, Jr., Homomorphisms of commutative Banach algebras, Amer. J. Math., 82 (1960), 589–608.

    Article  MathSciNet  MATH  Google Scholar 

  2. F. F. Bonsall and J. Duncan, Complete Normed Algebras, Springer-Verlag, New York, 1973.

    Book  MATH  Google Scholar 

  3. N. Grønbaek, Weighted discrete convolution algebras, this Volume.

    Google Scholar 

  4. H. G. Dales and J. P. McClure, Continuity of homomorphisms into certain commutative Banach algebras, Proc. London Math. Soc., 26 (1973), 69–81.

    Article  MathSciNet  MATH  Google Scholar 

  5. P. G. Dixon, Nonseparable Banach algebras whose squares are pathological, J. Functional Analysis, 26 (1977), 190–200.

    Article  MathSciNet  MATH  Google Scholar 

  6. J. Esterle, An algebra norm on l2 whose restriction to l1 is the usual l1-norm, Proc. Amer. Math. Soc., 69 (1978), 303–307.

    MathSciNet  MATH  Google Scholar 

  7. C. J. Feldman, The Wedderburn principal theorem in Banach algebras, Proc. Amer. Math. Soc., 2 (1951), 771–777.

    Article  MathSciNet  MATH  Google Scholar 

  8. A. J. Helemskii, Description of commutative annihilator Banach algebras, Soviet Math. Dokl., 5 (1964), 902–904.

    MATH  Google Scholar 

  9. B. E. Johnson, The Wedderburn decomposition of Banach algebras with finite dimensional radical, Amer. J. Math., 90 (1968), 866–876.

    Article  MathSciNet  MATH  Google Scholar 

  10. R. J. Loy, Commutative Banach algebras with idempotent maximal ideals, J. Austral. Math. Soc., 9 (1969), 275–286.

    Article  MathSciNet  MATH  Google Scholar 

  11. _____, Uniqueness of the complete norm topology and continuity of derivations on Banach algebras, Tôhoku Math. J., 22 (1970), 371–378.

    Article  MathSciNet  MATH  Google Scholar 

  12. R. J. Loy, Commutative Banach algebras with non-unique complete norm topology, Bull. Austral. Math. Soc., 10 (1974), 409–420.

    Article  MathSciNet  MATH  Google Scholar 

  13. _____, Multilinear mappings and Banach algebras, J. London Math. Soc., (2), 14 (1976), 423–429.

    Article  MathSciNet  MATH  Google Scholar 

  14. V. M. Zinde, The ‘unique norm’ property for commutative Banach algebras with finite dimensional radical, Vestnik Moskov. Univ. Ser. I Mat. Meh., 25 (1970), 3–8. (English translation, Moscow Univ. Math. Bull., 25 (1970).)

    MathSciNet  MATH  Google Scholar 

  15. P. G. Dixon, On the intersection of the principal ideal generated by powers in a Banach algebra, this Volume.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics Faculty of Science, The Australian National University, ACT 2600, Canberra, Australia

    Richard J. Loy

Authors
  1. Richard J. Loy
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

John M. Bachar William G. Bade Philip C. Curtis H. Garth Dales Marc P. Thomas

Rights and permissions

Reprints and permissions

Copyright information

© 1983 Springer-Verlag

About this paper

Cite this paper

Loy, R.J. (1983). The uniqueness of norm problem in Banach algebras with finite dimensional radical. 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/BFb0064565

Download citation

  • DOI: https://doi.org/10.1007/BFb0064565

  • 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

Publish with us

Policies and ethics

Search

Navigation