1. Chebyshev centers in hyperplanes of $c_0$
- Creator:
- Veselý, Libor
- Type:
- model:article and TEXT
- Subject:
- Chebyshev centers, proximinal hyperplanes, and space $c_0$
- Language:
- English
- Description:
- We give a full characterization of the closed one-codimensional subspaces of $c_0$, in which every bounded set has a Chebyshev center. It turns out that one can consider equivalently only finite sets (even only three-point sets) in our case, but not in general. Such hyperplanes are exactly those which are either proximinal or norm-one complemented.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public