Generalized stability of isometries

DOI10.1006/jmaa.1999.6649zbMath0956.46007OpenAlexW2000483063MaRDI QIDQ1972062

Gregor Dolinar

Publication date: 2 March 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6649

zbMATH Keywords

superstabilitystability of isometries\((e,p)\)-isometry\(p\)-stable

Mathematics Subject Classification ID

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

Related Items (13)

On generalized Hyers-Ulam stability of additive mapings on restricted domains of Banach spaces ⋮ Coarse isometries between finite dimensional Banach spaces ⋮ Isosceles-orthogonality preserving property and its stability ⋮ The \(N\)-isometric isomorphisms in linear \(N\)-normed \(C^{\ast}\)-algebras ⋮ Hyers-Ulam stability of isometries on bounded domains ⋮ Non-surjective coarse isometries between \(L_p\) spaces ⋮ On stability of almost surjective functional equations of uniformly convex Banach spaces ⋮ Inequalities in additive \(N\)-isometries on linear \(N\)-normed Banach spaces ⋮ The stability of the Wigner equation on a restricted domain ⋮ On non-surjective coarse isometries between Banach spaces ⋮ A fixed point approach to the stability of isometries ⋮ On approximate isometries and application to stability of a functional equation ⋮ Asymptotic properties of isometries.

Cites Work

• Ultraproducts and small bound perturbations
• Approximately linear functionals on Hilbert spaces
• Hyers-Ulam stability for isometries on Banach spaces
• On nonlinear perturbations of isometries
• Stability of Isometries
• Approximate Isometries on Euclidean Spaces
• Stability of Isometries on Banach Spaces
• On quasi‐isometric mappings, I
• Uniformly Convex Spaces
• On approximate isometries
• Approximate isometries
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