Skip to main content
SpringerLink
Log in

The range of a Jordan *-derivation on an H *-algebra

  • Published:
Acta Mathematica Hungarica Aims and scope Submit manuscript

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

References

  1. W. Ambrose, Structure theorems for a special class of Banach algebras, Trans. Amer. Math. Soc., 57 (1945), 364–386.

    Google Scholar 

  2. F. F. Bonsall and J. Duncan, Complete Normed Algebras, Springer (New York, 1973).

    Google Scholar 

  3. M. Brešar and B. Zalar, On the structure of Jordan*-derivations, Colloquium Math., 63 (1992), 163–171.

    Google Scholar 

  4. L. Molnár, p-classes of an H *-algebra and their representations, Acta Sci. Math. (Szeged), 58 (1993), 411–423.

    Google Scholar 

  5. L. Molnár, A condition for a function to be a bounded linear operator, Indian J. Math., 35 (1993), 1–4.

    Google Scholar 

  6. L. Molnár, The range of a Jordan*-derivation, Math. Japon., to appear.

  7. L. Molnár, Jordan*-derivation pairs on a complex*-algebra, Aequationes Math., to appear.

  8. P.P. Saworotnow, Trace-class and centralizers of an H *-algebra, Proc. Amer. Math. Soc., 26 (1970), 101–104.

    Google Scholar 

  9. P.P. Saworotnow and G.R. Giellis, Continuity and linearity of centralizers on a complemented algebra, Proc. Amer. Math. Soc., 31 (1972), 142–146.

    Google Scholar 

  10. P. Šemrl, Additive derivations of some operator algebras, Illinois J. Math., 35 (1991), 234–240.

    Google Scholar 

  11. P. Šemrl, Ring derivations on standard operator algebras, J. Funct. Anal., 112 (1993), 318–324.

    Google Scholar 

  12. P. Šemrl, Quadratic and quasi-quadratic functionals, Proc. Amer. Math. Soc., 119 (1993), 1105–1113.

    Google Scholar 

  13. P. Šemrl, Jordan*-derivations of standard operator algebras, Proc. Amer. Math. Soc., 120 (1994), 515–519.

    Google Scholar 

  14. B. Zalar, Jordan*-derivation pairs and quadratic functionals on modules over*-rings, Aequationes Math., to appear.

  15. B. Zalar, Jordan-von Neumann theorem for Saworotnow's generalized Hilbert space, Acta Math. Hungar., 69 (1995), 301–325.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics, Lajos Kossuth University, P. O. Box 12, 4010, Debrecen, Hungary

    L. Molnár

Authors
  1. L. Molnár
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Research partially supported by the Hungarian National Research Science Foundation, Operating Grant Number OTKA 1652.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Molnár, L. The range of a Jordan *-derivation on an H *-algebra. Acta Math Hung 72, 261–267 (1996). https://doi.org/10.1007/BF00050689

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00050689

Search

Navigation