On \(\sigma\)-Chebyshev subspaces of Banach spaces (Q2782152)
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: On \(\sigma\)-Chebyshev subspaces of Banach spaces |
scientific article; zbMATH DE number 1727697
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On \(\sigma\)-Chebyshev subspaces of Banach spaces |
scientific article; zbMATH DE number 1727697 |
Statements
25 April 2002
0 references
Chebyshev subspace
0 references
\(\sigma\)-Chebyshev
0 references
quasi-Chebyshev
0 references
proximinal subspace
0 references
0.9530561
0 references
0.9407066
0 references
0.9367546
0 references
0.92637694
0 references
0.9132191
0 references
0.9121508
0 references
On \(\sigma\)-Chebyshev subspaces of Banach spaces (English)
0 references
A subspace \(X_0\) of a Banach space \(X\) is \(\sigma\)-Chebyshev if the projection set of an arbitrary \(x\in X\) is nonempty and \(\sigma\)-compact. A subspace \(X_0\) of a Banach space \(X\) is quasi-Chebyshev if the projection set of an arbitrary \(x\in X\) is nonempty and compact. The authors exhibit an example of a not quasi-Chebychev but \(\sigma\)-Chebychev proximinal subspace.
0 references
