Isometric approximation property of unbounded sets

DOI10.1007/BF03322748zbMath1034.46026arXivmath/0201023OpenAlexW2087943981MaRDI QIDQ1411453

J. Vaeisaelae

Publication date: 29 October 2003

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0201023

zbMATH Keywords

isometric approximationHyers-Ulam theoremnearisometry

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Geometry and structure of normed linear spaces (46B20)

Related Items (6)

On the improvement of Fickett's theorem on bounded sets ⋮ On perturbed isometries between the positive cones of certain continuous function spaces ⋮ Stability of \(\varepsilon \)-isometries and their symmetrizations on the positive cones of \(c_0\) ⋮ Stability of \(\varepsilon\)-isometries on the positive cones of finite-dimensional Banach spaces ⋮ A fixed point approach to the stability of isometries ⋮ Hyers-Ulam stability of \(\varepsilon \)-isometries between the positive cones of \(c_0\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Isometric approximation property in Euclidean spaces.
• Notes on geometry
• Almost isometries of balls
• Rotation and strain
• Approximate Isometries on Finite-Dimensional Normed Spaces
• Approximate Isometries on Euclidean Spaces
• Hyers–Ulam constants of Hilbert spaces
• ɛ-Isometric Embeddings
• On approximate isometries
• Isometric approximation

This page was built for publication: Isometric approximation property of unbounded sets