A note on stability of maps which preserve equality of distance (Q727954)
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 note on stability of maps which preserve equality of distance |
scientific article; zbMATH DE number 6667618
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on stability of maps which preserve equality of distance |
scientific article; zbMATH DE number 6667618 |
Statements
A note on stability of maps which preserve equality of distance (English)
0 references
21 December 2016
0 references
The author proves the stability of surjective maps, which preserve equality of distance. Recall that a map between Banach spaces preserves equality of distance if \(\|T(x) -T(y)\| = \|T(u) -T(v)\|\) for all \(x, y, u, v \in E\) satisfying \(\|x- y\| = \|u - v\|\).
0 references
stability
0 references
Banach spaces
0 references
isometries
0 references
equality preserving map
0 references
0 references
0.9303828
0 references
0 references
0.89534545
0 references
0.8898086
0 references
0 references
0.88637066
0 references
0 references
