Modified Trif's functional equations in Banach modules over a \(C\)-algebra and approximate algebra homomorphisms.

DOI10.1016/S0022-247X(02)00529-2zbMath1046.39022MaRDI QIDQ1869948

Chun-Gil Park

Publication date: 4 May 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

functional equation\(C^*\)-algebraStabilityUnitary groupApproximate algebra homomorphismBanach module over \(C\)-algebraReal rank 0Trif's

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items (20)

Multi-\(C^{*}\)-ternary algebras and applications ⋮ On the Cauchy--Rassias stability of the trif functional equation in \(C^{*}\)-algebras ⋮ Retracted: Approximation of Jordan homomorphisms in Jordan-Banach algebras ⋮ Nonlinear fuzzy approximation of a mixed type ACQ functional equation via fixed point alternative ⋮ The \(N\)-isometric isomorphisms in linear \(N\)-normed \(C^{\ast}\)-algebras ⋮ Functional Inequalities in Fuzzy Normed Spaces ⋮ Fuzzy Hyers-Ulam-Rassias stability for generalized additive functional equations ⋮ Bifurcation and nodal solutions for the half-linear problems with nonasymptotic nonlinearity at \(0\) and \(\infty\) ⋮ Additive ρ-Functional Inequalities and Their Applications ⋮ On the Cauchy-Rassias stability of a generalized additive functional equation ⋮ Fixed points and Hyers--Ulam--Rassias stability of Cauchy--Jensen functional equations in Banach algebras ⋮ Fixed points and random stability of a generalized Apollonius type quadratic functional equation ⋮ Cauchy--Rassias stability of a generalized Trif's mapping in Banach modules and its applications ⋮ STABILITY OF HOMOMORPHISMS IN BANACH MODULES OVER A C^*-ALGEBRA ASSOCIATED WITH A GENERALIZED JENSEN TYPE MAPPING AND APPLICATIONS ⋮ Fixed points and stability of the Cauchy functional equation in \(C^{\ast }\)-algebras ⋮ Stability of the Jensen-type functional equation in \(C^{\ast}\)-algebras: a fixed point approach ⋮ Lie \(\ast\)-homomorphisms between Lie \(C^*\)-algebras and Lie \(\ast\)-derivations on Lie \(C^*\)-algebras ⋮ Fuzzy stability of a functional equation associated with inner product spaces ⋮ Generalized additive mapping in Banach modules and isomorphisms between \(C^{\ast}\)-algebras ⋮ Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Combined effects of concave and convex nonlinearities in some elliptic problems
• Infinite dimensional Morse theory and multiple solution problems
• A Perturbation Method in Critical Point Theory and Applications
• On an Elliptic Equation with Concave and Convex Nonlinearities

This page was built for publication: Modified Trif's functional equations in Banach modules over a \(C\)-algebra and approximate algebra homomorphisms.