Abstract
For a bounded subset A of E and x ∈ E, let \( r\left( {x,A} \right) \equiv \mathop {\sup }\limits_{y \in A} \left\| {y - x} \right\| \) (the minimal radius of a ball centered at x and containing A). For G ⊂ E, \( {r_G}\left( A \right) \equiv \mathop {\inf }\limits_{y \in G} \left( {y,A} \right) \) is the (relative) Chebyshev radius of A in G, and Z G (A) = {y ∈ G; r(y, A) = r G (A)} is the (possible empty) Chebyshev center set of A in G.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1986 Springer Basel AG
About this chapter
Cite this chapter
Amir, D. (1986). Chebyshev Radius and Centers. In: Characterizations of Inner Product Spaces. Operator Theory: Advances and Applications, vol 20. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5487-0_16
Download citation
DOI: https://doi.org/10.1007/978-3-0348-5487-0_16
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-5489-4
Online ISBN: 978-3-0348-5487-0
eBook Packages: Springer Book Archive