$\varepsilon$-Isometries of convex bodies in $l^n_\infty$ and $l^n_1$
DOI:
https://doi.org/10.3842/umzh.v76i9.8295Keywords:
\varepsilon--isometry, isometric approximation, classical Banach spaces, stabilityAbstract
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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