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On the topology of pointwise convergence on the boundaries of  -preduals
Author(s):
Warren
B.
Moors;
Jirí
Spurny
Journal:
Proc. Amer. Math. Soc.
137
(2009),
1421-1429.
MSC (2000):
Primary 46A50;
Secondary 46B20
Posted:
October 29, 2008
MathSciNet review:
2465668
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Abstract:
In this paper we prove a theorem more general than the following: ``If  is an  -predual,  is any boundary of  and  is any subset of  , then the closure of  with respect to the topology of pointwise convergence on  is separable with respect to the topology generated by the norm, whenever  is weak Lindelöf.'' Several applications of this result are also presented.
References:
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Additional Information:
Warren
B.
Moors
Affiliation:
Department of Mathematics, The University of Auckland, Private Bag 92019, Auckland, New Zealand
Email:
moors@math.auckland.ac.nz
Jirí
Spurny
Affiliation:
Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 186 75 Praha 8, Czech Republic
Email:
spurny@karlin.mff.cuni.cz
DOI:
10.1090/S0002-9939-08-09708-6
PII:
S 0002-9939(08)09708-6
Keywords:
Compact convex,
extreme points,
boundary,
$L_1$-predual.
Received by editor(s):
May 22, 2008
Posted:
October 29, 2008
Additional Notes:
The second author was supported by the research project MSM 0021620839 financed by MSMT and by the grant GA\,CR 201/07/0388.
Communicated by:
Nigel J. Kalton
Copyright of article:
Copyright
2008,
American Mathematical Society
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