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Mathematische Annalen

, Volume 159, Issue 4, pp 285–308 | Cite as

Non real fieldsk and infinite dimensionalk-vectorspaces (quadratic forms and linear topologies, II)

  • Herbert Gross
  • H. R. Fischer
Article

Keywords

Quadratic Form Linear Topology 
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Literature

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    Birch, Lewis, Murphy: Simultaneous quadratic forms. Am. J. Math.84, 110–115 (1962).Google Scholar
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    Chevalley, C.: Démonstration d'une hypothèse deM. Artin. Abhandl. math. Seminar hamburg. Univ. (1935) 73–75.Google Scholar
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    Fischer, H. R., andH. Gross: Quadratic forms and linear topologies I. Math. Ann.157, 296–325 (1964).Google Scholar
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    Kaplansky, I.: Quadratic forms. J. Math. Soc. Japan6, 200–207 (1953).Google Scholar
  5. [5]
    —— Forms in infinite-dimensional spaces. Anais Acad. Brazil. CienciasXXII (1950) 1–17. (For the content of this paper see Math. Rev.12, 238 (1951).)Google Scholar
  6. [6]
    Kneser, H.: Verschwindende Quadratsummen in Körpern. Jahrb. dtsch. Math. Ver.XLIV (1933) 143–146.Google Scholar
  7. [7]
    Siegel, Carl: Darstellung total positiver Zahlen durch Quadrate. Math. Z.11, 246–275 (1921).Google Scholar

Copyright information

© Springer-Verlag 1965

Authors and Affiliations

  • Herbert Gross
    • 1
  • H. R. Fischer
    • 1
  1. 1.Bozeman

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