Martin, Miguel ; Rao, T. S. S. R. K. (2010) On remotality for convex sets in Banach spaces Journal of Approximation Theory, 162 (2). pp. 392-396. ISSN 0021-9045
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Official URL: http://www.sciencedirect.com/science/article/pii/S...
Related URL: http://dx.doi.org/10.1016/j.jat.2009.07.003
Abstract
We show that every infinite dimensional Banach space has a closed and bounded convex set that is not remotal. This settles a problem raised by Sababheh and Khalil in [M. Sababheh, R. Khalil, Remotality of closed bounded convex sets, Numer. Funct. Anal. Optim. 29 (2008) 1166-1170].
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Remotal Convex Sets; Integral Representation; Radon-Nikodým Property |
| ID Code: | 64767 |
| Deposited On: | 14 Oct 2011 06:49 |
| Last Modified: | 14 Oct 2011 06:49 |
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