Characterizations on Mazur–Ulam theorem
✍ Scribed by Jaeyoo Choy; Hahng-Yun Chu; Se-Hyun Ku
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 451 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
This paper contains several generalizations of the Mazur-Ulam isometric theorem in F \* -spaces which are not assumed to be locally bounded. Let X and Y be two real F \* -spaces, and let X be locally pseudoconvex or δ-midpoint bounded. Assume that a operator T maps X onto Y in a δ-locally 1/2 i -iso
Let X and Y be two real Hilbert spaces with the dimension of X greater than 1. Several cases about the Aleksandrov᎐Rassias problem for T : X ª Y preserving two or three distances are presented and geometric interpretations of these cases are also given.