On subclasses of weak Asplund spaces
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- by Ondřej F. K. Kalenda and Kenneth Kunen PDF
- Proc. Amer. Math. Soc. 133 (2005), 425-429 Request permission
Abstract:
Assuming the consistency of the existence of a measurable cardinal, it is consistent to have two Banach spaces, $X,Y$, where $X$ is a weak Asplund space such that $X^{*}$ (in the weak* topology) in not in Stegall’s class, whereas $Y^{*}$ is in Stegall’s class but is not weak* fragmentable.References
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Additional Information
- Ondřej F. K. Kalenda
- Affiliation: Department of Mathematical Analysis, Charles University, Sokolovská 83, 186 75 Praha 8, Czech Republic
- ORCID: 0000-0003-4312-2166
- Email: kalenda@karlin.mff.cuni.cz
- Kenneth Kunen
- Affiliation: Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
- MR Author ID: 107920
- Email: kunen@math.wisc.edu
- Received by editor(s): October 4, 2001
- Published electronically: September 2, 2004
- Additional Notes: The first author was supported by Research grants GAUK 277/2001, GAČR 201/00/1466 and MSM 113200007
The second author was supported by NSF Grant DMS-0097881 - Communicated by: Jonathan M. Borwein
- © Copyright 2004
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 133 (2005), 425-429
- MSC (2000): Primary 46B26, 03E35
- DOI: https://doi.org/10.1090/S0002-9939-04-07744-5
- MathSciNet review: 2093063