𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Volume preserving mappings in the spirit of the Mazur-Ulam theorem

✍ Scribed by ThemistoclesM. Rassias; Peter Wagner


Publisher
Springer
Year
2003
Tongue
English
Weight
173 KB
Volume
66
Category
Article
ISSN
0001-9054

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Mappings of Conservative Distances and t
✍ Shuhuang Xiang 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 105 KB

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.

On the Generalizations of the Mazur–Ulam
✍ Wang Jian 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 112 KB

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