Skip to main content
SpringerLink
Log in

Noninvertibility preservers on Banach algebras

  • Published:
Czechoslovak Mathematical Journal Aims and scope Submit manuscript

Abstract

It is proved that a linear surjection Ф: A → B, which preserves noninvertibility between semisimple, unital, complex Banach algebras, is automatically injective.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. B. Aupetit: A Primer on Spectral Theory. Springer-Verlag, New York, 1991.

    MATH  Google Scholar 

  2. B. Aupetit, H. du T. Mouton: Spectrum-preserving linear mappings in Banach algebras. Stud. Math. 109 (1994), 91–100.

    MATH  Google Scholar 

  3. M. Brešar, A. Fošner, and P. Šemrl: A note on invertibility preservers on Banach algebras. Proc. Amer. Math. Soc. 131 (2003), 3833–3837.

    Article  MathSciNet  Google Scholar 

  4. A. R. Sourour: Invertibility preserving maps on L(X). Trans. Amer. Math. Soc. 348 (1996), 13–30.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Institute of Mathematics, Physics, and Mechanics, Jadranska 19, 1000, Ljubljana, Slovenia

    Bojan Kuzma

Authors
  1. Bojan Kuzma
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kuzma, B. Noninvertibility preservers on Banach algebras. Czech Math J 56, 919–921 (2006). https://doi.org/10.1007/s10587-006-0066-9

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10587-006-0066-9

Keywords

Search

Navigation