Two remarks on remotality

We prove that there exists a weakly closed and bounded subset E of c0 which is not remotal from 0, and such that co (E) is remotal from 0. This answers a question of M. Mart´ın and T.S.S.R.K. Rao. We also present a simple proof of the fact that in every non-reflexive Banach space there exists a closed convex bounded set which is not remotal.

• Type: Journal
• Year: 2011
• Where: JAT
• Authors: Michal Kraus
• Keywords: Bounded Subset, JAT 2011, Non-reflexive Banach Space, Weakly Closed