Acta Mathematica Hungarica

, Volume 43, Issue 1–2, pp 43–46 | Cite as

On irreducible operator*-algebras on Banach spaces

  • J. Vukman
Article
  • 31 Downloads

Keywords

Irreducible Operator 

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References

  1. [1]
    J. Bognár, Involution as operator conjugation,Colloquia Matematica Societatis János Bolyai vol. 5, Hilbert space operators and operator algebras, North-Holland (Amsterdam-London, 1972), 53–64.Google Scholar
  2. [2]
    J. Bognár, Star-algebras induced by non-degenerate inner products,Acta Sci. Math. (Szeged),39 (1977), 15–26.Google Scholar
  3. [3]
    S. Kakutani, G. W. Mackey, Two characterizations of real Hilbert space,Ann. Math.,45 (1944), 50–58.Google Scholar
  4. [4]
    S. Kakutani, G. W. Mackey, Ring and lattice characterizations of complex Hilbert space,Bull. Amer. Math. Soc. 52 (1946), 727–733.Google Scholar
  5. [5]
    N. Namsraj, On ideals and quitotients of hermitian algebras,Comment. Math. Univ. Carolinae,18,1 (1977), 87–91.Google Scholar
  6. [6]
    V. Pták, Banach algebras with involution,Manuscripta Math.,6 (1972), 245–290.Google Scholar
  7. [7]
    C. E. Rickart, Representation of certain Banach*-algebras on Hilbert space,Duke Math. J.,18 (1951), 27–39.Google Scholar
  8. [8]
    C. E. Rickart,General theory of Banach algebras, van Nostrand (1960).Google Scholar
  9. [9]
    J. Vukman, Characterization of Hilbert space,Glasnik Matematički,15 (35) (1980), 301–304.Google Scholar
  10. [10]
    J. Vukman, Real symmetric *-algebras,Glasnik Mathematički,16 (36) (1981), 91–103.Google Scholar
  11. [11]
    J. Vukman, Involution onL(X), Glasnik Matematički,17 (37) (1982), 65–72.Google Scholar
  12. [12]
    J. Vukman, A characterization of real and complex Hilbert space,Glasnik Matematički,18 (38) (1983), 103–106.Google Scholar

Copyright information

© Akadémiai Kiadó 1984

Authors and Affiliations

  • J. Vukman
    • 1
  1. 1.University of Maribor VeksMariborYugoslavia

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