On maps which preserve equality of distance in F-spaces

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dc.creatorTan, Dongni
dc.date2007-09-23
dc.date.accessioned2026-07-07T08:31:44Z
dc.date.available2026-07-07T08:31:44Z
dc.descriptionIn 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.
dc.description11 pages, 385 figures
dc.identifierhttps://arxiv.org/abs/0709.3620
dc.identifierhttp://arxiv.org/abs/0709.3620
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138585
dc.subjectFunctional Analysis
dc.subjectMetric Geometry
dc.subject46A16
dc.titleOn maps which preserve equality of distance in F-spaces
dc.typetext

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