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On subclasses of weak Asplund spaces
Author(s):
Ondrej
F. K.
Kalenda;
Kenneth
Kunen
Journal:
Proc. Amer. Math. Soc.
133
(2005),
425-429.
MSC (2000):
Primary 46B26, 03E35
Posted:
September 2, 2004
MathSciNet review:
2093063
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Abstract:
Assuming the consistency of the existence of a measurable cardinal, it is consistent to have two Banach spaces,  , where  is a weak Asplund space such that  (in the weak* topology) in not in Stegall's class, whereas  is in Stegall's class but is not weak* fragmentable.
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- P. Kenderov, W. Moors and S. Sciffer, A weak Asplund space whose dual is not weak* fragmentable, Proc. Amer. Math. Soc. 129 (12) (2001), 3741-3747. MR 1860511 (2002h:54014)
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Additional Information:
Ondrej
F. K.
Kalenda
Affiliation:
Department of Mathematical Analysis, Charles University, Sokolovská 83, 186 75 Praha 8, Czech Republic
Email:
kalenda@karlin.mff.cuni.cz
Kenneth
Kunen
Affiliation:
Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
Email:
kunen@math.wisc.edu
DOI:
10.1090/S0002-9939-04-07744-5
PII:
S 0002-9939(04)07744-5
Keywords:
Weak Asplund space,
fragmentable space,
Stegall's class of spaces,
measurable cardinal
Received by editor(s):
October 4, 2001
Posted:
September 2, 2004
Additional Notes:
The first author was supported by Research grants GAUK 277/2001, GACR 201/00/1466 and MSM 113200007
The second author was supported by NSF Grant DMS-0097881
Communicated by:
Jonathan M. Borwein
Copyright of article:
Copyright
2004,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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