A weak Asplund space whose dual is not in Stegall’s class
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- by Ondřej F. K. Kalenda PDF
- Proc. Amer. Math. Soc. 130 (2002), 2139-2143 Request permission
Abstract:
We show that, under some additional set-theoretical assumptions which are equiconsistent with the existence of a measurable cardinal, there is a weak Asplund space whose dual, equipped with the weak* topology, is not in Stegall’s class. This completes a result by Kenderov, Moors and Sciffer.References
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Additional Information
- Ondřej F. K. Kalenda
- Affiliation: Department of Mathematical Analysis, Sokolovská 83, 186 75 Praha 8, Czech Republic
- ORCID: 0000-0003-4312-2166
- Email: kalenda@karlin.mff.cuni.cz
- Received by editor(s): April 5, 2000
- Published electronically: February 27, 2002
- Additional Notes: Partially supported by research grants GAUK 277/2001, GAČR 201/00/1466 and MSM 113200007.
- Communicated by: Jonathan M. Borwein
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 2139-2143
- MSC (2000): Primary 54C60, 26E25, 54C10
- DOI: https://doi.org/10.1090/S0002-9939-02-06625-X
- MathSciNet review: 1896051