Hyers--Ulam--Rassias stability of quadratic functional equations in Banach modules over a \(C^{\ast}\)-algebra

DOI10.1142/S0252959903000244zbMath1053.46029OpenAlexW2254374109MaRDI QIDQ1425586

J. Park, Chun-Gil Park, Joon-Kook Shin

Publication date: 17 March 2004

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0252959903000244

zbMATH Keywords

Banach module\(C^{*}\)-algebraHyers--Ulam--Rassias stabilityB-quadratic mapping

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Stability, separation, extension, and related topics for functional equations (39B82) General theory of (C^*)-algebras (46L05) Functional equations for functions with more general domains and/or ranges (39B52) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items (4)

Isomorphisms between quasi-Banach algebras ⋮ Cauchy-Rassias stability of Cauchy-Jensen additive mappings in Banach spaces ⋮ Jordan *-derivations on \(C^*\)-algebras and \(JC^*\)-algebras ⋮ Generalized Hyers–Ulam stability of an Euler–Lagrange type additive mapping

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