Universality of Asplund spaces
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- by Petr Hájek, Gilles Lancien and Vicente Montesinos PDF
- Proc. Amer. Math. Soc. 135 (2007), 2031-2035 Request permission
Abstract:
Given any infinite cardinal $\tau$, there exists no Banach space of density $\tau$, which is Asplund or has the Point of Continuity Property and is universal for all reflexive spaces of density $\tau$.References
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Additional Information
- Petr Hájek
- Affiliation: Mathematical Institute, Czech Academy of Science, Žitná 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
- MR Author ID: 324078
- 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
- Received by editor(s): January 17, 2006
- Published electronically: February 28, 2007
- Additional Notes: This work was supported by the following grants: Institutional Research Plan AV0Z10190503, A100190502, GA ČR 201/04/0090 and Project BMF2002-01423
- Communicated by: Jonathan M. Borwein
- © Copyright 2007 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 135 (2007), 2031-2035
- MSC (2000): Primary 46B30, 46B03
- DOI: https://doi.org/10.1090/S0002-9939-07-08780-1
- MathSciNet review: 2299476