On a singular case in the Hyers-Ulam-Rassias stability of the Wigner equation.

DOI10.1016/j.jmaa.2003.08.042zbMath1045.39018OpenAlexW1981792063MaRDI QIDQ1425136

Jacek Chmieliński

Publication date: 15 March 2004

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.08.042

zbMATH Keywords

Hyers-Ulam-Rassias stabilityWigner equationSuperstability

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items (8)

On mappings approximately preserving orthogonality ⋮ Perturbation of the Wigner equation in inner product C*-modules ⋮ Orthogonality preserving property, Wigner equation, and stability ⋮ On superstability of the Wigner equation ⋮ Decomposition of mappings approximately inner product preserving ⋮ Stability of the orthogonality preserving property in finite-dimensional inner product spaces ⋮ Stability of the Wigner equation -- a singular case ⋮ Orthogonalities and functional equations

Cites Work

• On stability of additive mappings
• On Wigner's theorem: Remarks, complements, comments, and corollaries
• On the Stability of the Linear Mapping in Banach Spaces
• On the asymptoticity aspect of Hyers-Ulam stability of mappings
• Stability of angle-preserving mappings on the plane
• The stability of the Wigner equation on a restricted domain
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