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- Q4715616 subject Q7211696.
- Q4715616 subject Q7413945.
- Q4715616 subject Q8475379.
- Q4715616 abstract "The theory of isometries in the framework of Banach spaces has its beginning in a paper by Stanisław Mazur and Stanisław M. Ulam in 1932. They proved that each isometry of a normed real linear space onto a normed real linear space is a linear mapping up to translation. In 1970, Aleksandr Danilovich Aleksandrov asked whether the existence of a single conservative distance for some mapping implies that it is an isometry. Themistocles M. Rassias posed the following problem:Aleksandrov–Rassias Problem. If X and Y are normed linear spaces and if T : X → Y is a continuous and/or surjective mapping which satisfies the so-called distance one preserving property (DOPP), is then T necessarily an isometry?There have been several attempts in the mathematical literature by a number of researchers for the solution to this problem.".
- Q4715616 wikiPageExternalLink 2042566.pdf?pg1=IID&s1=342623&vfpref=html&r=30.
- Q4715616 wikiPageExternalLink 2101186.pdf?pg1=IID&s1=342623&vfpref=html&r=27.
- Q4715616 wikiPageExternalLink 259728.pdf?pg1=IID&s1=195576&vfpref=html&r=90.
- Q4715616 wikiPageExternalLink tex_v1_n1_a2.pdf.
- Q4715616 wikiPageExternalLink science?_ob=ArticleURL&_udi=B6WK2-457D0SY-7Y&_user=83473&_coverDate=02%2F01%2F2001&_rdoc=1&_fmt=high&_orig=search&_origin=search&_sort=d&_docanchor=&view=c&_searchStrId=1633108326&_rerunOrigin=google&_acct=C000059671&_version=1&_urlVersion=0&_userid=83473&md5=e2bc17e39427599d1f0d9d0708f50570&searchtype=a.
- Q4715616 wikiPageExternalLink sdarticle.pdf.
- Q4715616 wikiPageExternalLink 978-1-4614-3497-9.
- Q4715616 wikiPageWikiLink Q125977.
- Q4715616 wikiPageWikiLink Q194397.
- Q4715616 wikiPageWikiLink Q207643.
- Q4715616 wikiPageWikiLink Q234357.
- Q4715616 wikiPageWikiLink Q5984090.
- Q4715616 wikiPageWikiLink Q637176.
- Q4715616 wikiPageWikiLink Q7211696.
- Q4715616 wikiPageWikiLink Q740207.
- Q4715616 wikiPageWikiLink Q7413945.
- Q4715616 wikiPageWikiLink Q8475379.
- Q4715616 wikiPageWikiLink Q934314.
- Q4715616 comment "The theory of isometries in the framework of Banach spaces has its beginning in a paper by Stanisław Mazur and Stanisław M. Ulam in 1932. They proved that each isometry of a normed real linear space onto a normed real linear space is a linear mapping up to translation. In 1970, Aleksandr Danilovich Aleksandrov asked whether the existence of a single conservative distance for some mapping implies that it is an isometry. Themistocles M.".
- Q4715616 label "Aleksandrov–Rassias problem".