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Some ultrabornological normed function spaces

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Abstract.

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.

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Authors and Affiliations

  1. Institut Fourier, URA 188 du CNRS, Université de Grenoble 1, BP 74, F-38402 St. Martin d'Hères Cedex, France , , , , , , FR

    Alain Bernard

  2. Department of Mathematics, Box U-9, The University of Connecticut, Storrs, CT 06269-3009, U.S.A., , , , , , US

    Stuart J. Sidney

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  1. Alain Bernard
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  2. Stuart J. Sidney
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Received: 9.10.1995; new version received 13.2.1997.

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Bernard, A., Sidney, S. Some ultrabornological normed function spaces. Arch. Math. 69, 409–417 (1997). https://doi.org/10.1007/s000130050139

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  • DOI: https://doi.org/10.1007/s000130050139

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