Comment on “Approximate ternary Jordan derivations on Banach ternary algebras” [Bavand Savadkouhi et al. J. Math. Phys. 50, 042303 (2009)]

DOI10.1063/1.3299295zbMath1310.46047OpenAlexW2008918161MaRDI QIDQ5249165

Madjid Eshaghi-Gordji, Chun-Gil Park

Publication date: 29 April 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3299295

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Commutators, derivations, elementary operators, etc. (47B47) General theory of topological algebras with involution (46K05)

Related Items (16)

Classification and Stability of Functional Equations ⋮ Retracted: Approximation of Jordan homomorphisms in Jordan-Banach algebras ⋮ Solutions and stability of generalized mixed type QC functional equations in random normed spaces ⋮ Nearly ring homomorphisms and nearly ring derivations on non-Archimedean Banach algebras ⋮ Nearly radical quadratic functional equations in \(p-2\)-normed spaces ⋮ Solution and Hyers-Ulam-Rassias stability of generalized mixed type additive-quadratic functional equations in fuzzy Banach spaces ⋮ On approximate ternary \(m\)-derivations and \(\sigma\)-homomorphisms ⋮ Quadratic double centralizers and quadratic multipliers ⋮ Almost Jordan homomorphisms and Jordan derivations associated to the parametric-additive functional equation on fuzzy Banach algebras ⋮ Stability and superstability of ternary homomorphisms and ternary derivations on ternary quasi-Banach algebras ⋮ Nearly ternary quadratic higher derivations on non-Archimedean ternary Banach algebras: a fixed point approach ⋮ Solution and stability of generalized mixed type additive and quadratic functional equation in non-Archimedean spaces ⋮ On approximate homomorphisms of ternary semigroups ⋮ On approximate \(C^*\)-ternary \(m\)-homomorphisms: a fixed point approach ⋮ Approximately quintic and sextic mappings form \(r\)-divisible groups into Šerstnev probabilistic Banach spaces: fixed point method ⋮ A fixed point method for perturbation of bimultipliers and Jordan bimultipliers in C∗-ternary algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Isomorphisms between \(C^{*}\)-ternary algebras
• 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
• Ring derivations on semi-simple commutative Banach algebras
• Dynamics of mean-field spin models from basic results in abstract differential equations
• On foundation of the generalized Nambu mechanics
• The problem of S. M. Ulam for approximately multiplicative mappings
• On the stability of functional equations and a problem of Ulam
• On the stability of functional equations in Banach spaces
• Homomorphisms between Poisson JC*-algebras
• On the Hyers-Ulam stability of \(\psi\)-additive mappings
• Universal differential calculus on ternary algebras
• Ternary derivations, stability and physical aspects
• Nearly ternary derivations
• A perturbation of ring derivations on Banach algebras
• On the stability of \(J^*\)-homomorphisms
• Approximately isometric and multiplicative transformations on continuous function rings
• On the stability of the linear transformation in Banach spaces
• On the Stability of the Linear Mapping in Banach Spaces
• The cubic chessboard
• Hypersymmetry: A ℤ3-graded generalization of supersymmetry
• On special classes of n-algebras
• On approximate derivations
• Approximate homomorphisms and derivations between C∗-ternary algebras
• An Algebraic Approach to Quantum Field Theory
• Remarks on the stability of functional equations
• Stability of functional equations in several variables

This page was built for publication: Comment on “Approximate ternary Jordan derivations on Banach ternary algebras” [Bavand Savadkouhi et al. J. Math. Phys. 50, 042303 (2009)]