A Banach space in which all compact sets, but not all bounded sets, admit Chebyshev centers (Q1865735)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A Banach space in which all compact sets, but not all bounded sets, admit Chebyshev centers |
scientific article; zbMATH DE number 1889285
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Banach space in which all compact sets, but not all bounded sets, admit Chebyshev centers |
scientific article; zbMATH DE number 1889285 |
Statements
A Banach space in which all compact sets, but not all bounded sets, admit Chebyshev centers (English)
0 references
27 March 2003
0 references
Let \(c_0(X)\) be the space of all null sequences in a Banach space \(X\). It is shown that each compact set in \(c_0(X)\) admits a Chebyshev center if and only if each compact set in \(X\) admits a center. A Banach space in which all compact sets, but not all bounded sets, admit Chebyshev centers is constructed.
0 references
Banach spaces
0 references
Chebyshev centers
0 references
0.8607526
0 references
0.84100455
0 references
0.8392547
0 references
0.8351841
0 references
0.83496076
0 references
0 references
