|
|||||
|
|
Remark on a Paper of Sababheh and Khalil |
|
| Authors: | T S S R K Rao |
| Institution: | 1. Stat–Math Unit , Indian Statistical Institute, R. V. College , Bangalore, India tss@isibang.ac.in |
| Abstract: | We show that any Banach space X that has a sequence of unit vectors weakly converging to 0 has a closed and bounded convex set that is not remotal. This extends the main result of Sababheh and Khalil, (Numer. Funct. Anal. Optim. 2008; 29:1166–1170). |
| Keywords: | Reflexive Banach spaces Remotal sets |