$\varepsilon$-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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Publication Details

Journal
Ukrains’kyi Matematychnyi Zhurnal
Published
2024-10-05
DOI
https://doi.org/10.3842/umzh.v76i9.8295
Primary Topic
Advanced Banach Space Theory
Type
article
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article

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

Igor A. Vestfrid
Ukrains’kyi Matematychnyi Zhurnal
Advanced Banach Space Theory
article

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

Igor A. Vestfrid
article en

Abstract

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.

Ukrains’kyi Matematychnyi ZhurnalVol. 76(9)
Openalex Percentile: Top 71%
Advanced Banach Space Theory
DOIOpen Access PDFOpenAlex
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$\varepsilon$-Isometries of convex bodies in $l^n_\infty$ and $l^n_1$ — Igor A. Vestfrid · Ukrains’kyi Matematychnyi Zhurnal (2024) | TGRS Research Map | TGRS