On the generalized Hyers--Ulam--Rassias stability in Banach modules over a \(C^{*}\)-algebra

DOI10.1016/j.jmaa.2004.02.009zbMath1053.46028OpenAlexW2040829036MaRDI QIDQ596706

Won-Gil Park, Jae-Hyeong Bae

Publication date: 10 August 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.2004.02.009

zbMATH Keywords

Banach module\(C^{*}\)-algebra\(n\)-dimensional quadratic functional equationHyers--Ulam--Rassias stability

Mathematics Subject Classification ID

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) Systems of functional equations and inequalities (39B72)

Related Items (11)

On the stability of an \(n\)-dimensional cubic functional equation ⋮ Stability problems of quintic mappings in quasi-\(\beta \)-normed spaces ⋮ Generalized Hyers-Ulam stability of diffusion equation in the \(n\)-dimensional Euclidean space, \( \mathbb{R}^n\) ⋮ \(C^\ast\)-ternary 3-homomorphisms on \(C^\ast\)-ternary algebras ⋮ Stability problem of Hyers-Ulam-Rassias for generalized forms of cubic functional equation ⋮ A multidimensional functional equation having quadratic forms as solutions ⋮ On the stability of generalized quartic mappings in quasi-\(\beta\)-normed spaces ⋮ Ulam stability problem for generalized \(A\)-quadratic mappings ⋮ Solution and stability of Euler-Lagrange-Rassias quartic functional equations in various quasinormed spaces ⋮ The stability of generalized reciprocal-negative Fermat's equations in quasi-$\beta$-normed spaces ⋮ Fourier transforms and \(L^2\)-stability of diffusion equations

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