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A weak Asplund space whose dual is not in Stegall's class
Author(s):
Ondrej
F. K.
Kalenda
Journal:
Proc. Amer. Math. Soc.
130
(2002),
2139-2143.
MSC (2000):
Primary 54C60, 26E25, 54C10
Posted:
February 27, 2002
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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.
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Additional Information:
Ondrej
F. K.
Kalenda
Affiliation:
Department of Mathematical Analysis, Sokolovská 83, 186 75 Praha 8, Czech Republic
Email:
kalenda@karlin.mff.cuni.cz
DOI:
10.1090/S0002-9939-02-06625-X
PII:
S 0002-9939(02)06625-X
Keywords:
Weak Asplund space,
fragmentable space,
Stegall's class of spaces
Received by editor(s):
April 5, 2000
Posted:
February 27, 2002
Additional Notes:
Partially supported by research grants GAUK 277/2001, GACR 201/00/1466 and MSM 113200007.
Communicated by:
Jonathan M. Borwein
Copyright of article:
Copyright
2002,
American Mathematical Society
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