Advertisement

Mathematical Notes

, Volume 79, Issue 1–2, pp 285–290 | Cite as

Projection-Convex Combinations in C*-Algebras and the Invariant Subspace Problem, I

  • A. M. Bikchentaev
Brief Communications

Key words

C*-algebra normal operator unitary operator Hermitian operator von Neumann algebra convex combination of projections invariant subspace problem 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    A. M. Bikchentaev, Sibirsk. Mat. Zh. [Siberian Math. J.], 46 (2005), no. 1, 32–45.MathSciNetGoogle Scholar
  2. 2.
    A. M. Bikchentaev, Dokl. Ross. Akad. Nauk [Russian Acad. Sci. Dokl. Math.], 393 (2003), no. 4, 444–447.MathSciNetGoogle Scholar
  3. 3.
    A. M. Bikchentaev and A. N. Sherstnev, Mat. Zametki [Math. Notes], 76 (2004), no. 4, 625–628.MathSciNetGoogle Scholar
  4. 4.
    U. Haagerup and K. Dykema, Amer. J. Math., 126 (2004), no. 1, 121–189.MathSciNetGoogle Scholar
  5. 5.
    H. Radjavi, Proc. Amer. Math. Soc., 21 (1969), no. 2, 369–372.MATHMathSciNetGoogle Scholar
  6. 6.
    R. C. Thompson, Pacific J. Math., 33 (1970), no. 3, 763–810.MATHGoogle Scholar
  7. 7.
    P. R. Halmos, A Hilbert Space Problem Book, Second edition, Springer-Verlag, New York-Berlin, 1982.Google Scholar
  8. 8.
    S. Maeda, Rev. Math. Phys., 1 (1990), no. 2–3, 235–290.Google Scholar
  9. 9.
    S. Sakai C*-Algebras and W*-Algebras, Springer-Verlag, New York—Heidelberg—Berlin, 1971.Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • A. M. Bikchentaev
    • 1
  1. 1.V. I. Ul'yanov—Lenin Kazan State UniversityKazanRussia

Personalised recommendations