On maps which preserve equality of distance in F-spaces

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In order to generalize the results of Mazur-Ulam and Vogt, we shall prove that any map T which preserves equality of distance with T(0)=0 between two F-spaces without surjective condition is linear. Then, as a special case linear isometries are characterized through a simple property of their range.
11 pages, 385 figures

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Functional Analysis, Metric Geometry, 46A16

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http://salesiana.dossiersoluciones.com/handle/123456789/138585

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0709.3620
 http://arxiv.org/abs/0709.3620

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arXiv