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Realcompactness and measure-compactness of the unit ball in a Banach space

  • Measure Theory And Functional Analysis
  • Conference paper
  • First Online:
Measure Theory Oberwolfach 1983

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1089))

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Abstract

It is proved that the unit ball (with its weak topology) is not real-compact in the Banach spaces l∞/c0 and J(ω1). It is stated, but not proved, that the unit ball is not measure-compact in the Banach space l∞.

Supported in part by National Science Foundation grant MCS 8003078.

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References

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Authors and Affiliations

  1. Department of Mathematics, The Ohio State University, 43210, Columbus, Ohio, USA

    G. A. Edgar

Authors
  1. G. A. Edgar
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Editor information

D. Kölzow D. Maharam-Stone

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© 1984 Springer-Verlag

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Edgar, G.A. (1984). Realcompactness and measure-compactness of the unit ball in a Banach space. In: Kölzow, D., Maharam-Stone, D. (eds) Measure Theory Oberwolfach 1983. Lecture Notes in Mathematics, vol 1089. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072618

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  • DOI: https://doi.org/10.1007/BFb0072618

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13874-7

  • Online ISBN: 978-3-540-39069-5

  • eBook Packages: Springer Book Archive

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