Isometric approximation

DOI10.1007/BF02773375zbMath1022.46012OpenAlexW4239292361MaRDI QIDQ5951507

Pekka Alestalo, J. Vaeisaelae, Dmitrĭ Aleksandrovich Trotsenko

Publication date: 13 March 2003

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02773375

zbMATH Keywords

isometrysimilarities

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Isometric theory of Banach spaces (46B04)

Related Items (21)

A remark on quasi-isometries ⋮ On the improvement of Fickett's theorem on bounded sets ⋮ Extendability of classes of maps and new properties of upper sets ⋮ Hyers-Ulam stability of isometries on bounded domains ⋮ Chordal Hausdorff convergence and quasihyperbolic distance ⋮ On perturbed isometries between the positive cones of certain continuous function spaces ⋮ Isometric Approximation in Bounded Sets and Its Applications ⋮ Isometric approximation property of unbounded sets ⋮ Stability of \(\varepsilon \)-isometries and their symmetrizations on the positive cones of \(c_0\) ⋮ Hyers-Ulam stability of isometries on bounded domains. II. ⋮ Gromov-Wasserstein distances and the metric approach to object matching ⋮ Quasi-isometry from different points of view ⋮ Gromov hyperbolic discrete spaces and their application to extension of classes of mappings ⋮ Stability of \(\varepsilon\)-isometries on the positive cones of finite-dimensional Banach spaces ⋮ Isometric approximation property in Euclidean spaces. ⋮ On approximate isometries and application to stability of a functional equation ⋮ The Gromov-Hausdorff hyperspace of a Euclidean space ⋮ Hyers-Ulam stability of \(\varepsilon \)-isometries between the positive cones of \(c_0\) ⋮ The Gromov-Hausdorff hyperspace of nonnegatively curved $2$-spheres ⋮ \(\epsilon\)-isometries in Euclidean spaces ⋮ Almost isometries of balls

Cites Work

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• Approximation of space mappings with bounded distortion by similarities
• On nonlinear perturbations of isometries
• Rotation and strain
• Bilipschitz and quasisymmetric extension properties
• Quasisymmetric embeddings of metric spaces
• Approximate isometries on bounded sets with an application to measure theory
• Thick sets and quasisymmetric maps
• Stability of Isometries on Banach Spaces
• On approximate isometries

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