| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4607882 | Journal of Approximation Theory | 2010 | 5 Pages |
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].
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Miguel Martín, T.S.S.R.K. Rao,