Hyers-Ulam stability for isometries on Banach spaces

DOI10.1007/s000100050103zbMath0944.46005OpenAlexW4254029758MaRDI QIDQ1306339

Peter Šemrl

Publication date: 14 September 2000

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000100050103

zbMATH Keywords

Hyers-Ulam stabilityMazur-Ulam theoremsurjective linear isometry\(\varepsilon\)-isometriesFréchet differentiability of the normisometries of Banach spacesstability of isometries

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isometric theory of Banach spaces (46B04)

Related Items (9)

On the improvement of Fickett's theorem on bounded sets ⋮ Finite-dimensional quasirepresentations of connected Lie groups and Mishchenko's conjecture ⋮ Hyers-Ulam stability of isometries on bounded domains ⋮ Generalized stability of isometries ⋮ Stability of isometries between groups of invertible elements in Banach algebras ⋮ Continuity conditions for finite-dimensional locally bounded representations of connected locally compact groups ⋮ The stability of the Wigner equation on a restricted domain ⋮ A fixed point approach to the stability of isometries ⋮ Asymptotic properties of isometries.

This page was built for publication: Hyers-Ulam stability for isometries on Banach spaces