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manuscripta mathematica

, Volume 86, Issue 1, pp 225–238 | Cite as

On Solèr's characterization of Hilbert spaces

  • Alexander Prestel
Article

Keywords

Hilbert Space Hermitian Form Orthomodular Lattice Main Lemma Fixed Field 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [H1]S.S. Holland, Jr.: Orderings and square roots in *-fields. J. of Algebra 46 (1977), 207–219CrossRefMathSciNetGoogle Scholar
  2. [H2]S.S. Holland, Jr.: Orthomodularity in infinite dimensions; a theorem of M. Solèr. (Preprint)Google Scholar
  3. [K]H.A. Keller: Ein nicht klassischer Hilbertscher Raum. Math. Z. 172 (1980), 41–49CrossRefMathSciNetGoogle Scholar
  4. [KKS]H.A. Keller- U.M. Künzi- M.P. Solèr: Orthomodular spaces. In: Orthogonal geometry in infinite dimensional vector spaces. (To appear)Google Scholar
  5. [MM]F. MaedaS. Maeda: Theory of symmetric lattices. Springer-Verlag, Heidelberg, 1970zbMATHGoogle Scholar
  6. [P]A. Prestel: Lectures on formally real fields. Lecture Notes in Math. 1093 (Springer)Google Scholar
  7. [S]M.P. Solèr: Characterization of Hilbert spaces by orthomodular spaces. Communications in Algebra. (To appear)Google Scholar

Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • Alexander Prestel
    • 1
  1. 1.Fakultät für MathematikUniversität KonstanzKonstanz

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