scientific article

Publication date: 5 July 2005

Full work available at URL: https://eudml.org/doc/233506

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Hyers-Ulam-Rassias stability Lie JC*-algebra homomorphism Poisson JC*-algebra homomorphism Lie JC*-algebra derivation Lie JC*-algebras Poisson JC*-algebras

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) General theory of (C^*)-algebras (46L05) Functional equations for functions with more general domains and/or ranges (39B52) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (43)

Multi-\(C^{*}\)-ternary algebras and applications ⋮ Generalized \((\alpha,\beta, \gamma)\)-derivations on Lie \(C^*\)-algebras ⋮ Isomorphisms between quasi-Banach algebras ⋮ On approximate homomorphisms: A fixed point approach ⋮ Isomorphisms between \(C^{*}\)-ternary algebras ⋮ Hyers-Ulam-Rassias stability of derivations in proper \(JCQ^\ast\)-triples ⋮ The \(N\)-isometric isomorphisms in linear \(N\)-normed \(C^{\ast}\)-algebras ⋮ Stability of the Jensen equation in \(C^*\)-algebras: a fixed point approach ⋮ Hyers-Ulam stability of polynomial equations ⋮ On the stability of a parametric additive functional equation in quasi-Banach spaces ⋮ On approximate ternary \(m\)-derivations and \(\sigma\)-homomorphisms ⋮ ISOMORPHISMS,DERIVATIONS AND ISOMETRIES IN PROPER <i>CQ</i><sup>∗</sup>-ALGEBRAS ⋮ Approximation of functional equations in intuitionistic fuzzy C ∗ -algebras ⋮ Stability and superstability of ternary homomorphisms and ternary derivations on ternary quasi-Banach algebras ⋮ Approximate isomorphisms in \(C^{*}\)-algebras ⋮ Non-Archimedean stability of a quadratic functional equation ⋮ Additive Functional Inequalities and Partial Multipliers in Complex Banach Algebras ⋮ Additive ρ-Functional Inequalities and Their Applications ⋮ Fixed points and functional equations connected with derivations on Banach algebras ⋮ Stability of n-Lie homomorphisms and Jordan n-Lie homomorphisms on n-Lie algebras ⋮ Homomorphisms and derivations in \(C^{*}\)-algebras ⋮ Isomorphisms and derivations in Lie \(C^{\ast}\)-algebras ⋮ Fixed points and Hyers--Ulam--Rassias stability of Cauchy--Jensen functional equations in Banach algebras ⋮ Homomorphisms and derivations in proper \(JCQ^{*}\)-triples ⋮ Stability of homomorphisms for a 3D Cauchy-Jensen type functional equation on \(C^{*}\)-ternary algebras ⋮ Approximate homomorphisms and derivations on normed Lie triple systems ⋮ On the generalized Hyers-Ulam stability of module left \((m,n)\)-derivations ⋮ Stability and superstability of ring homomorphisms on non-archimedean Banach algebras ⋮ On approximate \(C^*\)-ternary \(m\)-homomorphisms: a fixed point approach ⋮ Fixed points and random stability of a generalized Apollonius type quadratic functional equation ⋮ Stability and hyperstability of orthogonally \(*\)-\(m\)-homomorphisms in orthogonally Lie \(C^*\)-algebras: a fixed point approach ⋮ Fixed points and partial multipliers in Banach algebras ⋮ Jordan *-derivations on \(C^*\)-algebras and \(JC^*\)-algebras ⋮ GENERALIZED (θ, ø)-DERIVATIONS ON BANACH ALGEBRAS ⋮ Fixed points and stability of the Cauchy functional equation in \(C^{\ast }\)-algebras ⋮ Homomorphisms and derivations in \(C^{\ast}\)-ternary algebras ⋮ Stability of the Jensen-type functional equation in \(C^{\ast}\)-algebras: a fixed point approach ⋮ Additive functional equations and partial multipliers in \(C^*\)-algebras ⋮ Stability of a generalized Euler-Lagrange type additive mapping and homomorphisms in \(C^{\ast}\)-algebras ⋮ Generalized additive mapping in Banach modules and isomorphisms between \(C^{\ast}\)-algebras ⋮ Approximate \((\alpha ,\beta ,\gamma )\)-derivation on random Lie \(C^*\)-algebras ⋮ HOMOMORPHISMS IN PROPER LIE CQ^*-ALGEBRAS ⋮ Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algebras

This page was built for publication: