Approximate \((m,n)\)-Cauchy-Jensen additive mappings in \(C^\ast\)-algebras

DOI10.1007/s10114-011-0179-4zbMath1275.39021OpenAlexW2076343430MaRDI QIDQ353536

Hark-Mahn Kim, Kil-Woung Jun, John Michael S. Rassias

Publication date: 16 July 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-0179-4

zbMATH Keywords

Hyers-Ulam stabilityunitary groupderivations\((m, n)\)-Cauchy-Jensen mappings\(C^\ast\)-algebra isomorphisms

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 (3)

Fixed points and stability of functional equations in fuzzy ternary Banach algebras ⋮ Approximation of radical functional equations related to quadratic and quartic mappings ⋮ Fundamental Stabilities of Various Forms of Complex Valued Functional Equations

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