Hyers–Ulam–Rassias stability of a generalized Apollonius–Jensen type additive mapping and isomorphisms between C *‐algebras

DOI10.1002/MANA.200510611zbMath1142.39023OpenAlexW2135827828MaRDI QIDQ5449658

Publication date: 12 March 2008

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200510611

zbMATH Keywords

Hyers-Ulam-Rassias stability \(C^*\)-algebras isomorphism generalized Apollonius-Jensen type additive mapping

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) General theory of (C^*)-algebras (46L05) Linear operators on Banach algebras (47B48) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (12)

A fixed point approach to the stability of an additive-quadratic-cubic-quartic functional equation ⋮ Homomorphisms in \(C^{*}\)-ternary algebras and \(JB^{*}\)-triples ⋮ Isomorphisms between \(C^{*}\)-ternary algebras ⋮ Lattictic non-Archimedean random stability of ACQ functional equation ⋮ The Pexiderized Apollonius–Jensen type additive mapping and isomorphisms betweenC*-algebras ⋮ On the stability of an \(m\)-variables functional equation in random normed spaces via fixed point method ⋮ Stability of the Cauchy-Jensen functional equation in \(C^*\)-algebras: a fixed point approach ⋮ Fixed points and stability of an additive functional equation of \(n\)-Apollonius type in \(C^{\ast}\)-algebras ⋮ Fixed points and Hyers--Ulam--Rassias stability of Cauchy--Jensen functional equations in Banach algebras ⋮ Nonlinear \(\mathcal L\)-random stability of an ACQ functional equation ⋮ Fixed points and the stability of an AQCQ-functional equation in non-Archimedean normed spaces ⋮ HOMOMORPHISMS IN PROPER LIE CQ^*-ALGEBRAS

Cites Work

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