Skip to main content
Log in

On topological reflexivity of the groups of*-automorphisms and surjective isometrics of ∇ (H)

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

References

  1. M. Brešar, Characterization of derivations on some normed algebras with involution. J. Algebra152, 454–462 (1992).

    Google Scholar 

  2. M. Brešar andP. šemrl, Mappings which preserve idempotents, local automorphisms, and local derivations. Canad. J. Math.45, 483–496 (1993).

    Google Scholar 

  3. M. Brešar andP. šemrl, On local automorphisms and mappings that preserve idempotents. Studia Math.113, 101–108 (1995).

    Google Scholar 

  4. R. V. Kadison, Isometries of operator algebras. Ann. of Math.54, 325–338 (1951).

    Google Scholar 

  5. R. V. Kadison, Local derivations. J. Algebra130, 494–509 (1990).

    Google Scholar 

  6. R. V.Kadison and J. R.Ringrose, Fundamentals of the Theory of Operator Algebras II, Orlando etc. 1986.

  7. D. R. Larson, Reflexivity, algebraic reflexivity and linear interpolation. Amer. J. Math.110, 283–299 (1988).

    Google Scholar 

  8. D. R. Larson andA. R. Sourour, Local derivations and local automorphisms ofB(X). Proc. Sympos. Pure Math.51, 187–194, Providence 1990.

    Google Scholar 

  9. A. J. Loginov andV. S. Shul'man, Hereditary and intermediate reflexivity ofW *-algebras. Izv. Akad. Nauk SSSR39, 1260–1273 (1975); English transl. in USSR-Isv.9, 1189–1201 (1975).

    Google Scholar 

  10. V. S. Shul'man, Operators preserving ideals inC *-algebras. Studia Math.109, 67–72 (1994).

    Google Scholar 

  11. E. StØrmer, On the Jordan structure ofC *-algebras. Trans. Amer. Math. Soc.120, 438–447 (1965).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This research was partially carried out while the first author was a visitor to Abteilung Viathematik V, UniversitÄt Ulm, Germany. The second author's research was partially supported by the Hungarian National Research Foundation (OTKA), Grant No. F-019322

Rights and permissions

Reprints and permissions

About this article

Cite this article

Batty, C.J.K., Molnár, L. On topological reflexivity of the groups of*-automorphisms and surjective isometrics of ∇ (H). Arch. Math 67, 415–421 (1996). https://doi.org/10.1007/BF01189101

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01189101

Navigation