JORDAN *-DERIVATIONS AND QUADRATIC JORDAN *-DERIVATIONS ON REAL C*-ALGEBRAS AND REAL JC*-ALGEBRAS

DOI10.1142/S0219887813500515zbMath1370.39014MaRDI QIDQ2865239

Abasalt Bodaghi, Chun-Gil Park

Publication date: 29 November 2013

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

Hyers-Ulam stabilityJordan \(\ast\)-derivationreal \(C^{\ast}\)-algebraquadratic Jordan \(\ast\)-derivationreal \(JC^{\ast}\)-algebra

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Stability, separation, extension, and related topics for functional equations (39B82) Infinite-dimensional Lie (super)algebras (17B65) Linear operators on Banach algebras (47B48) Functional equations for functions with more general domains and/or ranges (39B52) Systems of functional equations and inequalities (39B72)

Related Items (2)

Hyperstability of Jordan triple derivations on Banach algebras ⋮ On the stability of quadratic reciprocal functional equation in non-Archimedean fields

Cites Work

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• On the stability of \(\ast\)-derivations on Banach \(\ast\)-algebras
• Approximate *-derivations and approximate quadratic *-derivations on \(C^*\)-algebras
• Ulam stability of a quartic functional equation
• On the stability of quadratic double centralizers and quadratic multipliers: a fixed point approach
• Unbounded derivations tangential to compact groups of automorphisms. II
• On stability of additive mappings
• Homomorphisms between Poisson JC*-algebras
• Fixed points and Hyers--Ulam--Rassias stability of Cauchy--Jensen functional equations in Banach algebras
• A fixed point theorem of the alternative, for contractions on a generalized complete metric space
• On the Stability of the Linear Functional Equation
• On the stability of the quadratic mapping in normed spaces

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