Approximate Isometries on Euclidean Spaces

DOI10.2307/2975077zbMath0901.46016OpenAlexW4234211704MaRDI QIDQ4361609

Peter Šemrl, Rajendra Bhatia

Publication date: 29 November 1998

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2975077

zbMATH Keywords

Euclidean space\(\varepsilon\)-isometryapproximate isometry

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28)

Related Items (17)

More on stability of almost surjective \(\varepsilon\)-isometries of Banach spaces ⋮ On the improvement of Fickett's theorem on bounded sets ⋮ Hyers-Ulam stability of isometries on bounded domains ⋮ Hyers–Ulam stability of non-surjective isometries between subspaces of continuous functions ⋮ Isometric approximation property of unbounded sets ⋮ Graph rigidity for unitarily invariant matrix norms ⋮ \(c\)-Numerical radius isometries on matrix algebras and triangular matrix algebras ⋮ Generalized stability of isometries ⋮ On weak stability of \(\varepsilon\)-isometries on wedges and its applications ⋮ On perturbed metric-preserved mappings and their stability characterizations ⋮ Isometric approximation property in Euclidean spaces. ⋮ Maps preserving unitarily invariant norms of Jordan product of matrices ⋮ A fixed point approach to the stability of isometries ⋮ On stability and weak-star stability of \(\varepsilon\)-isometries ⋮ Stability of surjectivity ⋮ Asymptotic properties of isometries. ⋮ A universal theorem for stability of \(\varepsilon\)-isometries of Banach spaces

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