Addendum to: ``\(\varepsilon\)-isometries in Euclidean spaces

DOI10.1016/j.na.2006.06.053zbMath1115.51008OpenAlexW2017743340MaRDI QIDQ884514

Igor A. Vestfrid

Publication date: 6 June 2007

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.2006.06.053

zbMATH Keywords

Hyers-Ulam stabilityorthogonality equation\(\varepsilon\)-isometryisometric approximation

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52) Euclidean geometries (general) and generalizations (51M05)

Related Items (2)

Linear approximation of approximately biorthogonality preserving maps ⋮ Near-isometries of the unit sphere

Cites Work

• Unnamed Item
• Almost isometries of balls
• Stability of the orthogonality equation on bounded domains.
• \(\epsilon\)-isometries in Euclidean spaces
• A New Generalization of a Theorem of Jung for the Orthogonality Equation
• A remark on quasi-isometries
• Approximate Isometries in Bounded Spaces

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