\(\epsilon\)-isometries in Euclidean spaces
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Publication:2581735
DOI10.1016/j.na.2005.05.036zbMath1088.51010OpenAlexW2015418684MaRDI QIDQ2581735
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
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 \(c_0\)
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