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

On Solèr's characterization of Hilbert spaces

  • Alexander Prestel


Hilbert Space Hermitian Form Orthomodular Lattice Main Lemma Fixed Field 
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  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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