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

• 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
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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.