Polyhedrality in Orlicz spaces |
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| Authors: | Petr Hájek Michal Johanis |
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| Affiliation: | (1) Mathematical Institute, Czech Academy of Science, Žitná 25, 115 67 Praha 1, Czech Republic;(2) Department of Mathematical Analysis, Charles University, Sokolovská 83, 186 75 Praha 8, Czech Republic |
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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. 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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