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Polyhedrality in Orlicz spaces

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Abstract

We present a construction of an Orlicz space admitting a C ∞-smooth bump which depends locally on finitely many coordinates, and which is not isomorphic to a subspace of any C(K), K scattered. In view of the related results this space is possibly not isomorphic to a polyhedral space.

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Authors and Affiliations

  1. Mathematical Institute, Czech Academy of Science, Žitná 25, 115 67, Praha 1, Czech Republic

    Petr Hájek

  2. Department of Mathematical Analysis, Charles University, Sokolovská 83, 186 75, Praha 8, Czech Republic

    Michal Johanis

Authors
  1. Petr Hájek
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  2. Michal Johanis
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Corresponding author

Correspondence to Petr Hájek.

Additional information

Supported by grants: Institutional Research Plan AV0Z10190503, GAČR 201/04/0090, GAČR 201/07/0394, the research project MSM 0021620839, GAČR 201/05/P582.

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Hájek, P., Johanis, M. Polyhedrality in Orlicz spaces. Isr. J. Math. 168, 167–188 (2008). https://doi.org/10.1007/s11856-008-1062-6

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  • DOI: https://doi.org/10.1007/s11856-008-1062-6

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