Abstract
We study the reflexivity, the uniform convexity, the Daugavet property and the Radon-Nikodym property of the generalized Lebesgue spaces L p(x).
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This research was partially supported by the grant MSM 0021620839 of the Czech Ministry of Education and partly by grants 201/05/2033, 201/07/0388 and 201/08/0383 of the Grant Agency of the Czech Republic and by the Nečas Center for Mathematical Modeling Project no. LC06052 financed by the Czech Ministry of Education.
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Lukeš, J., Pick, L. & Pokorný, D. On geometric properties of the spaces L p(x) . Rev Mat Complut 24, 115–130 (2011). https://doi.org/10.1007/s13163-010-0032-9
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DOI: https://doi.org/10.1007/s13163-010-0032-9
Keywords
- Reflexivity
- Uniform convexity
- Daugavet property
- Radon-Nikodym property
- Generalized Lebesgue spaces
- Variable exponent