Approximate homomorphisms and derivations between C∗-ternary algebras

DOI10.1063/1.2942415zbMath1152.81589OpenAlexW2014416520MaRDI QIDQ5504964

Hark-Mahn Kim, John Michael S. Rassias

Publication date: 23 January 2009

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

Full work available at URL: https://doi.org/10.1063/1.2942415

zbMATH Keywords

Cauchy-Jensen functional equationgeneralized Ulam stability\(C^*\)-ternary algebras\(C^*\)-ternary derivations\(C^*\)-ternary homomorphisms

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Stability, separation, extension, and related topics for functional equations (39B82) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (11)

Generalized Ulam-Hyers stability of \(C^*\)-ternary algebra \(n\)-homomorphisms for a functional equation ⋮ Nearly quadratic mappings over \(p\)-adic fields ⋮ Stabilities of cubic mappings in fuzzy normed spaces ⋮ \(C^\ast\)-ternary 3-homomorphisms on \(C^\ast\)-ternary algebras ⋮ On approximate homomorphisms of ternary semigroups ⋮ Generalized Ulam-Hyers stability of Jensen functional equation in Šerstnev PN spaces ⋮ Homomorphisms and derivations in \(C^{\ast}\)-ternary algebras ⋮ Approximate homomorphisms from ternary semigroups to modular spaces ⋮ Approximate ternary Jordan derivations on Banach ternary algebras ⋮ Stability of a general mixed additive-cubic functional equation in non-Archimedean fuzzy normed spaces ⋮ Comment on “Approximate ternary Jordan derivations on Banach ternary algebras” [Bavand Savadkouhi et al. J. Math. Phys. 50, 042303 (2009)]

Cites Work

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• Leibniz and Lie algebra structures for Nambu algebra
• Approximate homomorphisms of ternary semigroups
• A characterization of ternary rings of operators
• A short course on functional equations. Based upon recent applications to the social and behavioral sciences
• On stability of additive mappings
• On a conjecture of Z. Ditzian
• On foundation of the generalized Nambu mechanics
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• Universal differential calculus on ternary algebras
• (Co)bordism groups in PDEs
• On the stability of the linear transformation in Banach spaces
• Isomorphisms between C*-ternary algebras
• On the Behavior of Mappings which do not Satisfy Hyers-Ulam Stability
• 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
• Classes of transformations and bordering transformations
• On the Stability of the Linear Functional Equation

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