Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Isometries and approximate isometries - MaRDI portal

Isometries and approximate isometries (Q5932792)

From MaRDI portal
scientific article; zbMATH DE number 1607424
Language Label Description Also known as
English
Isometries and approximate isometries
scientific article; zbMATH DE number 1607424

    Statements

    title
    Isometries and approximate isometries (English)
    0 references
    publication date
    20 June 2001
    0 references
    review text
    \textit{S. Mazur} and \textit{S. Ulam} [C. R. Acad. Sci., Paris 194, 949-948 (1932; Zbl 0004.02103)] showed that a surjective isometry between real normed vector spaces is an affine mapping. Starting from this result, the author provides a summary of similar results within the following half-century for isometries and approximate isometries. Examples and some proofs are given.
    0 references
    zbMATH Keywords
    surjective isometry
    0 references
    affine mapping
    0 references
    approximate isometries
    0 references

    Identifiers

    zbMATH DE Number
    1607424
    0 references
     
    Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Item:Q5932792&oldid=25457088"
    Powered by MediaWiki