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

DOI10.1155/2012/373904zbMath1248.39024OpenAlexW1537910322WikidataQ58700505 ScholiaQ58700505MaRDI QIDQ444252

Yeol Je Cho, Reza Saadati, Javad Vahidi

Publication date: 14 August 2012

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/373904

zbMATH Keywords

derivationshomomorphisms\(C^\ast\)-algebrasgeneralized Hyers-Ulam stabilityadditive functional equationfixed point methodsLie \(C^\ast\)-algebrasnon-Archimedean \(C^\ast\)-algebrasnon-Archimedean Lie \(C^\ast\)-algebras

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) 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) Orthogonal additivity and other conditional functional equations (39B55)

Related Items (7)

Generalized \((\alpha,\beta, \gamma)\)-derivations on Lie \(C^*\)-algebras ⋮ Stability and superstability of generalized quadratic ternary derivations on non-Archimedean ternary Banach algebras: a fixed point approach ⋮ Unnamed Item ⋮ Stability of n-Lie homomorphisms and Jordan n-Lie homomorphisms on n-Lie algebras ⋮ Approximation of additive functional equations in NA Lie \(C^\star\)-algebras ⋮ Introducing of an orthogonally relation for stability of ternary cubic homomorphisms and derivations on C*-ternary algebras ⋮ Generalized Hyers-Ulam stability for general additive functional equations on non-Archimedean random lie C*-algebras

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
• On approximation of approximately linear mappings by linear mappings
• A fixed point theorem of the alternative, for contractions on a generalized complete metric space

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