aequationes mathematicae

, Volume 4, Issue 3, pp 332–337 | Cite as

An open mapping theorem for convex sets with only one part

  • H. Bauer
Research Papers
Received:
Revised:

Keywords

Open Mapping Open Mapping Theorem 
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References

  1. [1]
    Bartle, R. G. andGraves, L. M.,Mappings between Function Spaces, Trans. Amer. Math. Soc.72, 400–413 (1952).Google Scholar
  2. [2]
    Bauer, H. andBear, H. S.,The Part Metric in Convex Sets, to appear in Pacific J. Math.Google Scholar
  3. [3]
    Bear, H. S.,A Geometric Characterization of Gleason Parts, Proc. Amer. Math. Soc.16, 407–412 (1952).Google Scholar
  4. [4]
    Bourbaki, N.,Espaces vectoriels topologiques, Chap. 1–2, 2nd edition ([Act. Sci. et Ind. 1189] Paris 1966).Google Scholar
  5. [5]
    Husain, T.,The Open Mapping Theorem and Closed Graph Theorem in Topological Vector Spaces (Oxford 1965).Google Scholar

Copyright information

© Birkhäuser-Verlag 1970

Authors and Affiliations

  • H. Bauer
    • 1
  1. 1.Universität Erlangen-Nürnberg New Mexico State UniversityErlangenWest Germany

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