Hyers-Ulam-Rassias stability of Jordan homomorphisms on Banach algebras

DOI10.1155/JIA.2005.435zbMath1104.39026OpenAlexW2110080320MaRDI QIDQ2498216

Sin-Ei Takahasi, Takeshi Miura, Go Hirasawa

Publication date: 28 August 2006

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/126883

zbMATH Keywords

Hyers-Ulam-Rassias stabilityBanach algebraring homomorphismJordan homomorphism

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Linear operators on Banach algebras (47B48) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (21)

Unnamed Item ⋮ n-JORDAN HOMOMORPHISMS ⋮ Characterization of \(n\)-Jordan homomorphisms and their automatic continuity on Banach algebras ⋮ Automatic continuity of almost 3-homomorphisms and almost 3-Jordan homomorphisms ⋮ Unnamed Item ⋮ Asymptotic behavior of \(n\)-Jordan homomorphisms ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A characterization of Jordan homomorphism on Banach algebras ⋮ Ulam-Hyers-Rassias stability problem for several kinds of mappings ⋮ Hyers-Ulam stability of a functional equation with several parameters ⋮ Orthogonality preserving property, Wigner equation, and stability ⋮ Inequalities in additive \(N\)-isometries on linear \(N\)-normed Banach spaces ⋮ Stability of cubic functional equation in the spaces of generalized functions ⋮ \(\theta\)-centralizers on semiprime Banach \(\ast\)-algebras ⋮ Nearly Jordan \(\ast\)-homomorphisms between unital \(C^{\ast}\)-algebras ⋮ Approximately \(n\)-Jordan homomorphisms on Banach algebras ⋮ Gleason-Kahane-Żelazko theorem for bilinear maps ⋮ Characterization of mixed n-Jordan and pseudo n-Jordan homomorphisms ⋮ Characterization of $n$-Jordan Homomorphisms on Rings

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