Archiv der Mathematik

, Volume 69, Issue 5, pp 409–417 | Cite as

Some ultrabornological normed function spaces

  • Alain Bernard
  • Stuart J. Sidney


A variety of normed function spaces, including the space E 0 (X) of continuous functions on the compact Hausdorff space X that are locally constant on a dense open subset of X, are shown to be ultrabornological.


Continuous Function Open Subset Function Space Normed Function Hausdorff Space 
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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Copyright information

© Birkhäuser Verlag, Basel 1997

Authors and Affiliations

  • Alain Bernard
    • 1
  • Stuart J. Sidney
    • 2
  1. 1.Institut Fourier, URA 188 du CNRS, Université de Grenoble 1, BP 74, F-38402 St. Martin d'Hères Cedex, France FR
  2. 2.Department of Mathematics, Box U-9, The University of Connecticut, Storrs, CT 06269-3009, U.S.A.US

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