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Mappings of Conservative Distances and the Mazur–Ulam Theorem

✍ Scribed by Shuhuang Xiang

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
105 KB
Volume
254
Category
Article
ISSN
0022-247X

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✦ Synopsis

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.

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