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Universality of Asplund spaces
Author(s):
Petr
Hájek;
Gilles
Lancien;
Vicente
Montesinos
Journal:
Proc. Amer. Math. Soc.
135
(2007),
2031-2035.
MSC (2000):
Primary 46B30, 46B03
Posted:
February 28, 2007
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Abstract:
Given any infinite cardinal  , there exists no Banach space of density  , which is Asplund or has the Point of Continuity Property and is universal for all reflexive spaces of density  .
References:
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Additional Information:
Petr
Hájek
Affiliation:
Mathematical Institute, Czech Academy of Science, Zitná 25, 115 67 Praha 1, Czech Republic
Email:
hajek@math.cas.cz
Gilles
Lancien
Affiliation:
Université de Franche Comté, Besancon, 16, Route de Gray, 25030 Besancon Cedex, France
Email:
glancien@math.univ-fcomte.fr
Vicente
Montesinos
Affiliation:
Department of Applied Mathematics, Telecommunication Engineering Faculty, Polytechnic University of Valencia, 46071 Valencia, Spain
Email:
vmontesi@mat.upv.es
DOI:
10.1090/S0002-9939-07-08780-1
PII:
S 0002-9939(07)08780-1
Received by editor(s):
January 17, 2006
Posted:
February 28, 2007
Additional Notes:
This work was supported by the following grants: Institutional Research Plan AV0Z10190503, A100190502, GA CR 201/04/0090 and Project BMF2002-01423
Communicated by:
Jonathan M. Borwein
Copyright of article:
Copyright
2007,
American Mathematical Society
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