Chebyshev centers in hyperplanes of $c_0$

Title:

Chebyshev centers in hyperplanes of $c_0$

Creator:

Veselý, Libor

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:b160371c-6ebe-4962-a83e-1d74ae8b4255
uuid:b160371c-6ebe-4962-a83e-1d74ae8b4255

Subject:

Chebyshev centers, proximinal hyperplanes, and space $c_0$

Type:

model:article and TEXT

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

721-729

Source:

Czechoslovak Mathematical Journal | 2002 Volume:52 | Number:4

Harvested from:

CDK

Metadata only:

false