Approximation of homomorphisms and derivations on Lie \(C^\ast\)-algebras via fixed point method

DOI10.1186/1029-242X-2013-415zbMath1285.39010OpenAlexW2099169191WikidataQ59299200 ScholiaQ59299200MaRDI QIDQ2441875

Youngoh Yang, Yeol Je Cho, Reza Saadati

Publication date: 28 March 2014

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-415

zbMATH Keywords

generalized Hyers-Ulam stabilityadditive functional equationfixed point methodsderivation on \(C^\ast\)-algebras and Lie \(C^\ast\)-algebrashomomorphism in \(C^\ast\)-algebras and Lie \(C^\ast\)-algebras

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 (5)

Generalized \((\alpha,\beta, \gamma)\)-derivations on Lie \(C^*\)-algebras ⋮ Functional Inequalities in Banach Spaces and Fuzzy Banach Spaces ⋮ Ulam stability of Jensen functional inequality on a class of noncommutative groups ⋮ An iteration scheme for contraction mappings with an application to synchronization of discrete logistic maps ⋮ 3-Variable double ρ-functional inequalities of Drygas

Cites Work

• Approximations of ternary Jordan homomorphisms and derivations in multi-\(C^*\) ternary algebras
• On the Hyers-Ulam-Rassias stability of an additive functional equation in quasi-Banach spaces
• Homomorphisms between Poisson JC*-algebras
• Lie \(\ast\)-homomorphisms between Lie \(C^*\)-algebras and Lie \(\ast\)-derivations on Lie \(C^*\)-algebras
• On the orthogonal stability of the pexiderized quadratic equation

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