Generalized stability of \(C^{\ast}\)-ternary quadratic mappings

DOI10.1155/2007/23282zbMath1158.39020OpenAlexW2069091949MaRDI QIDQ2472067

Jian Lian Cui, Chun-Gil Park

Publication date: 20 February 2008

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/55224

zbMATH Keywords

stabilityBanach space\(C^*\)-ternary quadratic mappings\(C^*\)-ternary rings

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)

Related Items (18)

Multi-\(C^{*}\)-ternary algebras and applications ⋮ Lattictic non-Archimedean random stability of ACQ functional equation ⋮ On approximate ternary \(m\)-derivations and \(\sigma\)-homomorphisms ⋮ A functional equation originating from elliptic curves ⋮ On the Cauchy functional inequality in Banach modules ⋮ Homomorphisms and derivations in \(C^{*}\)-algebras ⋮ Stability of functional inequalities with Cauchy-Jensen additive mappings ⋮ Isomorphisms and derivations in Lie \(C^{\ast}\)-algebras ⋮ The stability of a quadratic functional equation with the fixed point alternative ⋮ On approximate \(C^*\)-ternary \(m\)-homomorphisms: a fixed point approach ⋮ Fixed points and the stability of an AQCQ-functional equation in non-Archimedean normed spaces ⋮ Generalized Hyers–Ulam stability of ρ-functional inequalities ⋮ Stability and hyperstability of orthogonally \(*\)-\(m\)-homomorphisms in orthogonally Lie \(C^*\)-algebras: a fixed point approach ⋮ Functional inequalities in non-Archimedean Banach spaces ⋮ Fixed points in functional inequalities ⋮ Solution and stability of an $n$-variable additive functional equation ⋮ On solution and stability of a two-variable functional equations ⋮ Stability of the Jensen-type functional equation in \(C^{\ast}\)-algebras: a fixed point approach

Cites Work

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• Isomorphisms between C*-ternary algebras
• Proprieta’ locali e approssimazione di operatori
• On the Stability of the Linear Mapping in Banach Spaces
• On the Stability of the Linear Functional Equation
• Remarks on the stability of functional equations
• On the stability of the quadratic mapping in normed spaces

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