\(\epsilon\)-isometries in Euclidean spaces

DOI10.1016/j.na.2005.05.036zbMath1088.51010OpenAlexW2015418684MaRDI QIDQ2581735

Igor A. Vestfrid

Publication date: 10 January 2006

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.05.036

zbMATH Keywords

Euclidean spaces\(\epsilon\)-isometryisometric approximation

Mathematics Subject Classification ID

Isometric theory of Banach spaces (46B04) Euclidean geometries (general) and generalizations (51M05)

Related Items (12)

Linear approximation of approximately biorthogonality preserving maps ⋮ On mappings approximately preserving orthogonality ⋮ Addendum to: ``\(\varepsilon\)-isometries in Euclidean spaces ⋮ On perturbed isometries between the positive cones of certain continuous function spaces ⋮ ADM mass for \(C^0\) metrics and distortion under Ricci-DeTurck flow ⋮ Isometric Approximation in Bounded Sets and Its Applications ⋮ Stability of \(\varepsilon \)-isometries and their symmetrizations on the positive cones of \(c_0\) ⋮ Hyers-Ulam stability of isometries on bounded domains. II. ⋮ Near-isometries of the unit sphere ⋮ Stability of \(\varepsilon\)-isometries on the positive cones of finite-dimensional Banach spaces ⋮ On approximate isometries and application to stability of a functional equation ⋮ Hyers-Ulam stability of \(\varepsilon \)-isometries between the positive cones of \(c_0\)

Cites Work

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• Almost isometries of balls
• On nonlinear perturbations of isometries
• Linear approximation of approximately linear functions
• Stability of Isometries
• A remark on quasi-isometries
• Stability of Isometries on Banach Spaces
• On approximate isometries
• Isometric approximation

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