Local stability of the Cauchy and Jensen equations in function spaces (Q1818263)
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: Local stability of the Cauchy and Jensen equations in function spaces |
scientific article; zbMATH DE number 1383757
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local stability of the Cauchy and Jensen equations in function spaces |
scientific article; zbMATH DE number 1383757 |
Statements
Local stability of the Cauchy and Jensen equations in function spaces (English)
0 references
2 July 2000
0 references
The authors consider two finite dimensional Banach spaces, a convex set \(D \subset X\) which includes 0, and the set of functions \(f\) from \(D\) into \(Y\). They prove, by using some interesting techniques, that in this class of functions the Cauchy equation is stable with respect to the Lipschitz norm. The stability of the Jensen equation is studied and two open problems are stated.
0 references
Cauchy equation
0 references
Jensen equation
0 references
stability
0 references
