$\varepsilon$-Isometries of convex bodies in $l^n_\infty$ and $l^n_1$

UDC 517.5 It is shown that every $\varepsilon$-isometry of a convex body in $l^n_\infty$ or in $l^n_1$ can be well approximated by an affine surjective isometry.

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Bibliographic Details
Date:2025
Main Author: Vestfrid, Igor A.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2025
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/8295
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal