On distance-preserving mappings

Jung, S-M; Rassias, TM

dc.contributor.author	Jung, S-M	en
dc.contributor.author	Rassias, TM	en
dc.date.accessioned	2014-03-01T01:21:09Z
dc.date.available	2014-03-01T01:21:09Z
dc.date.issued	2004	en
dc.identifier.issn	0304-9914	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16100
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-18544386692&partnerID=40&md5=506035aa8272d9a3eb266870443234a3	en
dc.subject	Aleksandrov problem	en
dc.subject	Distance-preserving mapping	en
dc.subject	Isometry	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	ALEKSANDROV PROBLEM	en
dc.title	On distance-preserving mappings	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2004	en
heal.abstract	We generalize a theorem of W. Benz by proving the following result: Let H-theta be a half space of a real Hilbert space with dimension greater than or equal to 3 and let Y be a real normed space which is strictly convex. If a distance p > 0 is contractive and another distance Nrho (N greater than or equal to 2) is extensive by a mapping f : H-theta --> Y, then the restriction f\Htheta+rho/2 is an isometry, where Htheta+rho/2 is also a half space which is a proper subset of H-theta. Applying the above result, we also generalize a. classical theorem of Beckman and Quarles.	en
heal.publisher	KOREAN MATHEMATICAL SOCIETY	en
heal.journalName	Journal of the Korean Mathematical Society	en
dc.identifier.isi	ISI:000222451400005	en
dc.identifier.volume	41	en
dc.identifier.issue	4	en
dc.identifier.spage	667	en
dc.identifier.epage	680	en