Stability of homomorphisms for a 3D Cauchy-Jensen type functional equation on \(C^{*}\)-ternary algebras

DOI10.1016/J.JMAA.2007.09.025zbMath1147.39010OpenAlexW2034026261MaRDI QIDQ2474916

Asghar Ranjbari, Abbas Najati

Publication date: 6 March 2008

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.2007.09.025

zbMATH Keywords

Hyers-Ulam-Rassias stability\(p\)-Banach algebra\(C^*\)-ternary algebrasCauchy-Jensen type functional equationhomomorphism in quasi-Banach algebra

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) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

Related Items (11)

\(C^\ast\)-ternary 3-derivations on \(C^\ast\)-ternary algebras ⋮ \(n\)-expansively super-homogeneous and \((n,k)\)-contractively sub-homogeneous fuzzy control functions and stability results with numerical examples ⋮ Fuzzy Hyers-Ulam-Rassias stability for generalized additive functional equations ⋮ Stability of linear operators in locally convex cones ⋮ Ulam-Hyers Stability of Functional Equations in Quasi-β-Banach Spaces ⋮ Stability of Cauchy-Jensen type functional equation in generalized fuzzy normed spaces ⋮ Stability of n-Lie homomorphisms and Jordan n-Lie homomorphisms on n-Lie algebras ⋮ Generalized Hyers-Ulam stability for general additive functional equations in quasi-\(\beta \)-normed spaces ⋮ Homomorphisms in quasi-Banach algebras associated with a pexiderized Cauchy-Jensen functional equation ⋮ Approximate \((\alpha ,\beta ,\gamma )\)-derivation on random Lie \(C^*\)-algebras ⋮ Generalized Hyers-Ulam stability for general additive functional equations on non-Archimedean random lie C*-algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Isomorphisms between unital \(C^{\ast}\)-algebras
• Refined Hyers--Ulam approximation of approximately Jensen type mappings
• Approximate homomorphisms of ternary semigroups
• A characterization of ternary rings of operators
• Solution of a problem of Ulam
• On approximation of approximately linear mappings by linear mappings
• On stability of additive mappings
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• On the Hyers-Ulam-Rassias stability of approximately additive mappings
• The problem of S. M. Ulam for approximately multiplicative mappings
• On the stability of functional equations in Banach spaces
• Homomorphisms between Poisson JC*-algebras
• Approximate homomorphisms on \(JB^{\ast}\)-triples
• Lie \(\ast\)-homomorphisms between Lie \(C^*\)-algebras and Lie \(\ast\)-derivations on Lie \(C^*\)-algebras
• On the stability of the linear mapping in Banach modules
• Stability of \(\Psi\)-additive mappings: Applications to nonlinear analysis
• On the generalized Hyers-Ulam stability of module left derivations
• Functional inequalities associated with Jordan-von Neumann-type additive functional equations
• Homomorphisms and derivations in \(C^{*}\)-algebras
• Homomorphisms between \(JC^*\)-algebras and Lie \(C^*\)-algebras
• On the stability of the linear transformation in Banach spaces
• Proprieta’ locali e approssimazione di operatori
• On the Behavior of Mappings which do not Satisfy Hyers-Ulam Stability
• On the Stability of the Linear Mapping in Banach Spaces
• Hyers-Ulam-Rassias stability of Jensen’s equation and its application
• On the asymptoticity aspect of Hyers-Ulam stability of mappings
• On the Stability of the Linear Functional Equation
• Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algebras

This page was built for publication: Stability of homomorphisms for a 3D Cauchy-Jensen type functional equation on \(C^{*}\)-ternary algebras