Skip to main content
Log in

On Solèr's characterization of Hilbert spaces

  • Published:
manuscripta mathematica 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

  • [H1]S.S. Holland, Jr.: Orderings and square roots in *-fields. J. of Algebra 46 (1977), 207–219

    Article  MathSciNet  Google Scholar 

  • [H2]S.S. Holland, Jr.: Orthomodularity in infinite dimensions; a theorem of M. Solèr. (Preprint)

  • [K]H.A. Keller: Ein nicht klassischer Hilbertscher Raum. Math. Z. 172 (1980), 41–49

    Article  MathSciNet  Google Scholar 

  • [KKS]H.A. Keller- U.M. Künzi- M.P. Solèr: Orthomodular spaces. In: Orthogonal geometry in infinite dimensional vector spaces. (To appear)

  • [MM]F. MaedaS. Maeda: Theory of symmetric lattices. Springer-Verlag, Heidelberg, 1970

    MATH  Google Scholar 

  • [P]A. Prestel: Lectures on formally real fields. Lecture Notes in Math. 1093 (Springer)

  • [S]M.P. Solèr: Characterization of Hilbert spaces by orthomodular spaces. Communications in Algebra. (To appear)

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Prestel, A. On Solèr's characterization of Hilbert spaces. Manuscripta Math 86, 225–238 (1995). https://doi.org/10.1007/BF02567991

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02567991

Keywords

Navigation